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Finding the Third Proportional to 73,746,400 and 106,227,024

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Solution

The third proportional to 73,746,400 and 106,227,024 is: 153,013,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,746,400 : 106,227,024 = 106,227,024 : x
  2. Step 2: Convert to fraction form
    73,746,400/106,227,024 = 106,227,024/x
  3. Step 3: Cross multiply
    73,746,400x = 106,227,024 × 106,227,024
  4. Step 4: Simplify right side
    73,746,400x = 11,284,180,627,896,576
  5. Step 5: Solve for x
    x = 11,284,180,627,896,576/73,746,400
  6. Step 6: Final answer
    x = 153,013,308.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.