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Finding the Third Proportional to 61,653,864 and 132,607,946

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Solution

The third proportional to 61,653,864 and 132,607,946 is: 285,219,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,653,864 : 132,607,946 = 132,607,946 : x
  2. Step 2: Convert to fraction form
    61,653,864/132,607,946 = 132,607,946/x
  3. Step 3: Cross multiply
    61,653,864x = 132,607,946 × 132,607,946
  4. Step 4: Simplify right side
    61,653,864x = 17,584,867,342,338,916
  5. Step 5: Solve for x
    x = 17,584,867,342,338,916/61,653,864
  6. Step 6: Final answer
    x = 285,219,225.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.