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Finding the Third Proportional to 466,523,926.59 and 1,002,282,306.19

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Solution

The third proportional to 466,523,926.59 and 1,002,282,306.19 is: 2,153,308,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,523,926.59 : 1,002,282,306.19 = 1,002,282,306.19 : x
  2. Step 2: Convert to fraction form
    466,523,926.59/1,002,282,306.19 = 1,002,282,306.19/x
  3. Step 3: Cross multiply
    466,523,926.59x = 1,002,282,306.19 × 1,002,282,306.19
  4. Step 4: Simplify right side
    466,523,926.59x = 1,004,569,821,296,533,504
  5. Step 5: Solve for x
    x = 1,004,569,821,296,533,504/466,523,926.59
  6. Step 6: Final answer
    x = 2,153,308,252.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.