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Finding the Third Proportional to 244,884,916 and 532,814,894

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Solution

The third proportional to 244,884,916 and 532,814,894 is: 1,159,286,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,884,916 : 532,814,894 = 532,814,894 : x
  2. Step 2: Convert to fraction form
    244,884,916/532,814,894 = 532,814,894/x
  3. Step 3: Cross multiply
    244,884,916x = 532,814,894 × 532,814,894
  4. Step 4: Simplify right side
    244,884,916x = 283,891,711,268,231,232
  5. Step 5: Solve for x
    x = 283,891,711,268,231,232/244,884,916
  6. Step 6: Final answer
    x = 1,159,286,230.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.