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Finding the Third Proportional to 3,893,593,850,672 and 5,723,755,685,448

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Solution

The third proportional to 3,893,593,850,672 and 5,723,755,685,448 is: 8,414,174,770,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893,593,850,672 : 5,723,755,685,448 = 5,723,755,685,448 : x
  2. Step 2: Convert to fraction form
    3,893,593,850,672/5,723,755,685,448 = 5,723,755,685,448/x
  3. Step 3: Cross multiply
    3,893,593,850,672x = 5,723,755,685,448 × 5,723,755,685,448
  4. Step 4: Simplify right side
    3,893,593,850,672x = 32,761,379,146,698,302,829,887,488
  5. Step 5: Solve for x
    x = 32,761,379,146,698,302,829,887,488/3,893,593,850,672
  6. Step 6: Final answer
    x = 8,414,174,770,962.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.