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Finding the Third Proportional to 2,063,698,331,953.50 and 4,489,720,493,510.20

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Solution

The third proportional to 2,063,698,331,953.50 and 4,489,720,493,510.20 is: 9,767,701,896,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063,698,331,953.50 : 4,489,720,493,510.20 = 4,489,720,493,510.20 : x
  2. Step 2: Convert to fraction form
    2,063,698,331,953.50/4,489,720,493,510.20 = 4,489,720,493,510.20/x
  3. Step 3: Cross multiply
    2,063,698,331,953.50x = 4,489,720,493,510.20 × 4,489,720,493,510.20
  4. Step 4: Simplify right side
    2,063,698,331,953.50x = 20,157,590,109,845,476,977,147,904
  5. Step 5: Solve for x
    x = 20,157,590,109,845,476,977,147,904/2,063,698,331,953.50
  6. Step 6: Final answer
    x = 9,767,701,896,024.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.