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Finding the Third Proportional to 61,405,816 and 132,377,084

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Solution

The third proportional to 61,405,816 and 132,377,084 is: 285,375,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405,816 : 132,377,084 = 132,377,084 : x
  2. Step 2: Convert to fraction form
    61,405,816/132,377,084 = 132,377,084/x
  3. Step 3: Cross multiply
    61,405,816x = 132,377,084 × 132,377,084
  4. Step 4: Simplify right side
    61,405,816x = 17,523,692,368,343,056
  5. Step 5: Solve for x
    x = 17,523,692,368,343,056/61,405,816
  6. Step 6: Final answer
    x = 285,375,124.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.