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Finding the Third Proportional to 65,697,376 and 141,782,042

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Solution

The third proportional to 65,697,376 and 141,782,042 is: 305,980,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,697,376 : 141,782,042 = 141,782,042 : x
  2. Step 2: Convert to fraction form
    65,697,376/141,782,042 = 141,782,042/x
  3. Step 3: Cross multiply
    65,697,376x = 141,782,042 × 141,782,042
  4. Step 4: Simplify right side
    65,697,376x = 20,102,147,433,689,764
  5. Step 5: Solve for x
    x = 20,102,147,433,689,764/65,697,376
  6. Step 6: Final answer
    x = 305,980,979.11

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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.