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Finding the Third Proportional to 491,592,920.27 and 1,053,304,810.91

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Solution

The third proportional to 491,592,920.27 and 1,053,304,810.91 is: 2,256,849,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,592,920.27 : 1,053,304,810.91 = 1,053,304,810.91 : x
  2. Step 2: Convert to fraction form
    491,592,920.27/1,053,304,810.91 = 1,053,304,810.91/x
  3. Step 3: Cross multiply
    491,592,920.27x = 1,053,304,810.91 × 1,053,304,810.91
  4. Step 4: Simplify right side
    491,592,920.27x = 1,109,451,024,686,572,160
  5. Step 5: Solve for x
    x = 1,109,451,024,686,572,160/491,592,920.27
  6. Step 6: Final answer
    x = 2,256,849,069.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.