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Finding the Third Proportional to 611,718,500.25 and 1,320,908,725.13

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Solution

The third proportional to 611,718,500.25 and 1,320,908,725.13 is: 2,852,292,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,718,500.25 : 1,320,908,725.13 = 1,320,908,725.13 : x
  2. Step 2: Convert to fraction form
    611,718,500.25/1,320,908,725.13 = 1,320,908,725.13/x
  3. Step 3: Cross multiply
    611,718,500.25x = 1,320,908,725.13 × 1,320,908,725.13
  4. Step 4: Simplify right side
    611,718,500.25x = 1,744,799,860,111,352,832
  5. Step 5: Solve for x
    x = 1,744,799,860,111,352,832/611,718,500.25
  6. Step 6: Final answer
    x = 2,852,292,123.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.