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Finding the Third Proportional to 766,661,782 and 1,251,757,184

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Solution

The third proportional to 766,661,782 and 1,251,757,184 is: 2,043,790,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,661,782 : 1,251,757,184 = 1,251,757,184 : x
  2. Step 2: Convert to fraction form
    766,661,782/1,251,757,184 = 1,251,757,184/x
  3. Step 3: Cross multiply
    766,661,782x = 1,251,757,184 × 1,251,757,184
  4. Step 4: Simplify right side
    766,661,782x = 1,566,896,047,695,609,856
  5. Step 5: Solve for x
    x = 1,566,896,047,695,609,856/766,661,782
  6. Step 6: Final answer
    x = 2,043,790,475.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.