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Finding the Third Proportional to 61,280,624 and 131,303,720

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Solution

The third proportional to 61,280,624 and 131,303,720 is: 281,339,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,280,624 : 131,303,720 = 131,303,720 : x
  2. Step 2: Convert to fraction form
    61,280,624/131,303,720 = 131,303,720/x
  3. Step 3: Cross multiply
    61,280,624x = 131,303,720 × 131,303,720
  4. Step 4: Simplify right side
    61,280,624x = 17,240,666,885,838,400
  5. Step 5: Solve for x
    x = 17,240,666,885,838,400/61,280,624
  6. Step 6: Final answer
    x = 281,339,610.48

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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.