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Finding the Third Proportional to 64,353,252 and 137,125,605

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Solution

The third proportional to 64,353,252 and 137,125,605 is: 292,190,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,353,252 : 137,125,605 = 137,125,605 : x
  2. Step 2: Convert to fraction form
    64,353,252/137,125,605 = 137,125,605/x
  3. Step 3: Cross multiply
    64,353,252x = 137,125,605 × 137,125,605
  4. Step 4: Simplify right side
    64,353,252x = 18,803,431,546,616,024
  5. Step 5: Solve for x
    x = 18,803,431,546,616,024/64,353,252
  6. Step 6: Final answer
    x = 292,190,852.24

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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.