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Finding the Third Proportional to 596,327,572.86 and 1,310,949,565.66

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Solution

The third proportional to 596,327,572.86 and 1,310,949,565.66 is: 2,881,954,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,327,572.86 : 1,310,949,565.66 = 1,310,949,565.66 : x
  2. Step 2: Convert to fraction form
    596,327,572.86/1,310,949,565.66 = 1,310,949,565.66/x
  3. Step 3: Cross multiply
    596,327,572.86x = 1,310,949,565.66 × 1,310,949,565.66
  4. Step 4: Simplify right side
    596,327,572.86x = 1,718,588,763,714,630,400
  5. Step 5: Solve for x
    x = 1,718,588,763,714,630,400/596,327,572.86
  6. Step 6: Final answer
    x = 2,881,954,217.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.