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Finding the Third Proportional to 516,861,216 and 1,134,148,378.50

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Solution

The third proportional to 516,861,216 and 1,134,148,378.50 is: 2,488,661,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,861,216 : 1,134,148,378.50 = 1,134,148,378.50 : x
  2. Step 2: Convert to fraction form
    516,861,216/1,134,148,378.50 = 1,134,148,378.50/x
  3. Step 3: Cross multiply
    516,861,216x = 1,134,148,378.50 × 1,134,148,378.50
  4. Step 4: Simplify right side
    516,861,216x = 1,286,292,544,454,179,328
  5. Step 5: Solve for x
    x = 1,286,292,544,454,179,328/516,861,216
  6. Step 6: Final answer
    x = 2,488,661,374.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.