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Finding the Third Proportional to 61,536,072 and 131,308,560

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Solution

The third proportional to 61,536,072 and 131,308,560 is: 280,192,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,536,072 : 131,308,560 = 131,308,560 : x
  2. Step 2: Convert to fraction form
    61,536,072/131,308,560 = 131,308,560/x
  3. Step 3: Cross multiply
    61,536,072x = 131,308,560 × 131,308,560
  4. Step 4: Simplify right side
    61,536,072x = 17,241,937,929,273,600
  5. Step 5: Solve for x
    x = 17,241,937,929,273,600/61,536,072
  6. Step 6: Final answer
    x = 280,192,371.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.