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Finding the Third Proportional to 1,003,074,624 and 1,549,331,448

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Solution

The third proportional to 1,003,074,624 and 1,549,331,448 is: 2,393,070,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,074,624 : 1,549,331,448 = 1,549,331,448 : x
  2. Step 2: Convert to fraction form
    1,003,074,624/1,549,331,448 = 1,549,331,448/x
  3. Step 3: Cross multiply
    1,003,074,624x = 1,549,331,448 × 1,549,331,448
  4. Step 4: Simplify right side
    1,003,074,624x = 2,400,427,935,761,776,640
  5. Step 5: Solve for x
    x = 2,400,427,935,761,776,640/1,003,074,624
  6. Step 6: Final answer
    x = 2,393,070,144.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.