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Finding the Third Proportional to 5,962,766,917.13 and 8,829,021,382.13

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Solution

The third proportional to 5,962,766,917.13 and 8,829,021,382.13 is: 13,073,061,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962,766,917.13 : 8,829,021,382.13 = 8,829,021,382.13 : x
  2. Step 2: Convert to fraction form
    5,962,766,917.13/8,829,021,382.13 = 8,829,021,382.13/x
  3. Step 3: Cross multiply
    5,962,766,917.13x = 8,829,021,382.13 × 8,829,021,382.13
  4. Step 4: Simplify right side
    5,962,766,917.13x = 77,951,618,566,020,448,256
  5. Step 5: Solve for x
    x = 77,951,618,566,020,448,256/5,962,766,917.13
  6. Step 6: Final answer
    x = 13,073,061,491.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.