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Finding the Third Proportional to 65,897,339 and 137,248,959

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Solution

The third proportional to 65,897,339 and 137,248,959 is: 285,857,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897,339 : 137,248,959 = 137,248,959 : x
  2. Step 2: Convert to fraction form
    65,897,339/137,248,959 = 137,248,959/x
  3. Step 3: Cross multiply
    65,897,339x = 137,248,959 × 137,248,959
  4. Step 4: Simplify right side
    65,897,339x = 18,837,276,746,583,680
  5. Step 5: Solve for x
    x = 18,837,276,746,583,680/65,897,339
  6. Step 6: Final answer
    x = 285,857,927.38

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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.