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Finding the Third Proportional to 459,051,729.75 and 996,041,565

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Solution

The third proportional to 459,051,729.75 and 996,041,565 is: 2,161,191,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,051,729.75 : 996,041,565 = 996,041,565 : x
  2. Step 2: Convert to fraction form
    459,051,729.75/996,041,565 = 996,041,565/x
  3. Step 3: Cross multiply
    459,051,729.75x = 996,041,565 × 996,041,565
  4. Step 4: Simplify right side
    459,051,729.75x = 992,098,799,207,649,280
  5. Step 5: Solve for x
    x = 992,098,799,207,649,280/459,051,729.75
  6. Step 6: Final answer
    x = 2,161,191,723.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.