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Finding the Third Proportional to 273,687,049.13 and 566,776,207.13

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Solution

The third proportional to 273,687,049.13 and 566,776,207.13 is: 1,173,732,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,687,049.13 : 566,776,207.13 = 566,776,207.13 : x
  2. Step 2: Convert to fraction form
    273,687,049.13/566,776,207.13 = 566,776,207.13/x
  3. Step 3: Cross multiply
    273,687,049.13x = 566,776,207.13 × 566,776,207.13
  4. Step 4: Simplify right side
    273,687,049.13x = 321,235,268,963,000,896
  5. Step 5: Solve for x
    x = 321,235,268,963,000,896/273,687,049.13
  6. Step 6: Final answer
    x = 1,173,732,078.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.