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Finding the Third Proportional to 1,003,074,408 and 1,549,331,100

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Solution

The third proportional to 1,003,074,408 and 1,549,331,100 is: 2,393,069,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,074,408 : 1,549,331,100 = 1,549,331,100 : x
  2. Step 2: Convert to fraction form
    1,003,074,408/1,549,331,100 = 1,549,331,100/x
  3. Step 3: Cross multiply
    1,003,074,408x = 1,549,331,100 × 1,549,331,100
  4. Step 4: Simplify right side
    1,003,074,408x = 2,400,426,857,427,210,240
  5. Step 5: Solve for x
    x = 2,400,426,857,427,210,240/1,003,074,408
  6. Step 6: Final answer
    x = 2,393,069,585.15

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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.