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Finding the Third Proportional to 2,063,698,331,878 and 4,489,720,493,376

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Solution

The third proportional to 2,063,698,331,878 and 4,489,720,493,376 is: 9,767,701,895,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063,698,331,878 : 4,489,720,493,376 = 4,489,720,493,376 : x
  2. Step 2: Convert to fraction form
    2,063,698,331,878/4,489,720,493,376 = 4,489,720,493,376/x
  3. Step 3: Cross multiply
    2,063,698,331,878x = 4,489,720,493,376 × 4,489,720,493,376
  4. Step 4: Simplify right side
    2,063,698,331,878x = 20,157,590,108,640,433,707,941,888
  5. Step 5: Solve for x
    x = 20,157,590,108,640,433,707,941,888/2,063,698,331,878
  6. Step 6: Final answer
    x = 9,767,701,895,798.25

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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.