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Finding the Third Proportional to 244,884,914 and 532,814,890

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Solution

The third proportional to 244,884,914 and 532,814,890 is: 1,159,286,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,884,914 : 532,814,890 = 532,814,890 : x
  2. Step 2: Convert to fraction form
    244,884,914/532,814,890 = 532,814,890/x
  3. Step 3: Cross multiply
    244,884,914x = 532,814,890 × 532,814,890
  4. Step 4: Simplify right side
    244,884,914x = 283,891,707,005,712,096
  5. Step 5: Solve for x
    x = 283,891,707,005,712,096/244,884,914
  6. Step 6: Final answer
    x = 1,159,286,222.94

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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.