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Finding the Third Proportional to 65,897,343 and 137,248,969

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Solution

The third proportional to 65,897,343 and 137,248,969 is: 285,857,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897,343 : 137,248,969 = 137,248,969 : x
  2. Step 2: Convert to fraction form
    65,897,343/137,248,969 = 137,248,969/x
  3. Step 3: Cross multiply
    65,897,343x = 137,248,969 × 137,248,969
  4. Step 4: Simplify right side
    65,897,343x = 18,837,279,491,562,960
  5. Step 5: Solve for x
    x = 18,837,279,491,562,960/65,897,343
  6. Step 6: Final answer
    x = 285,857,951.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.