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Finding the Third Proportional to 1,003,074,410 and 1,549,331,103

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Solution

The third proportional to 1,003,074,410 and 1,549,331,103 is: 2,393,069,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,074,410 : 1,549,331,103 = 1,549,331,103 : x
  2. Step 2: Convert to fraction form
    1,003,074,410/1,549,331,103 = 1,549,331,103/x
  3. Step 3: Cross multiply
    1,003,074,410x = 1,549,331,103 × 1,549,331,103
  4. Step 4: Simplify right side
    1,003,074,410x = 2,400,426,866,723,196,416
  5. Step 5: Solve for x
    x = 2,400,426,866,723,196,416/1,003,074,410
  6. Step 6: Final answer
    x = 2,393,069,589.65

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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.