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Finding the Third Proportional to 2,063,698,331,865.80 and 4,489,720,493,350.50

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Solution

The third proportional to 2,063,698,331,865.80 and 4,489,720,493,350.50 is: 9,767,701,895,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063,698,331,865.80 : 4,489,720,493,350.50 = 4,489,720,493,350.50 : x
  2. Step 2: Convert to fraction form
    2,063,698,331,865.80/4,489,720,493,350.50 = 4,489,720,493,350.50/x
  3. Step 3: Cross multiply
    2,063,698,331,865.80x = 4,489,720,493,350.50 × 4,489,720,493,350.50
  4. Step 4: Simplify right side
    2,063,698,331,865.80x = 20,157,590,108,411,456,116,490,240
  5. Step 5: Solve for x
    x = 20,157,590,108,411,456,116,490,240/2,063,698,331,865.80
  6. Step 6: Final answer
    x = 9,767,701,895,745.04

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