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Finding the Third Proportional to 1,031,254,380 and 1,635,633,432

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Solution

The third proportional to 1,031,254,380 and 1,635,633,432 is: 2,594,216,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,254,380 : 1,635,633,432 = 1,635,633,432 : x
  2. Step 2: Convert to fraction form
    1,031,254,380/1,635,633,432 = 1,635,633,432/x
  3. Step 3: Cross multiply
    1,031,254,380x = 1,635,633,432 × 1,635,633,432
  4. Step 4: Simplify right side
    1,031,254,380x = 2,675,296,723,876,098,560
  5. Step 5: Solve for x
    x = 2,675,296,723,876,098,560/1,031,254,380
  6. Step 6: Final answer
    x = 2,594,216,107.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.