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Finding the Third Proportional to 787,437,550 and 1,687,192,182

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Solution

The third proportional to 787,437,550 and 1,687,192,182 is: 3,615,039,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,437,550 : 1,687,192,182 = 1,687,192,182 : x
  2. Step 2: Convert to fraction form
    787,437,550/1,687,192,182 = 1,687,192,182/x
  3. Step 3: Cross multiply
    787,437,550x = 1,687,192,182 × 1,687,192,182
  4. Step 4: Simplify right side
    787,437,550x = 2,846,617,459,001,921,024
  5. Step 5: Solve for x
    x = 2,846,617,459,001,921,024/787,437,550
  6. Step 6: Final answer
    x = 3,615,039,007.22

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Why These Related Problems?

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