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Finding the Third Proportional to 54,746,061.75 and 82,130,049

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Solution

The third proportional to 54,746,061.75 and 82,130,049 is: 123,211,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,746,061.75 : 82,130,049 = 82,130,049 : x
  2. Step 2: Convert to fraction form
    54,746,061.75/82,130,049 = 82,130,049/x
  3. Step 3: Cross multiply
    54,746,061.75x = 82,130,049 × 82,130,049
  4. Step 4: Simplify right side
    54,746,061.75x = 6,745,344,948,742,401
  5. Step 5: Solve for x
    x = 6,745,344,948,742,401/54,746,061.75
  6. Step 6: Final answer
    x = 123,211,510.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.