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Finding the Third Proportional to 981,847,946 and 1,524,506,115

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Solution

The third proportional to 981,847,946 and 1,524,506,115 is: 2,367,086,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,847,946 : 1,524,506,115 = 1,524,506,115 : x
  2. Step 2: Convert to fraction form
    981,847,946/1,524,506,115 = 1,524,506,115/x
  3. Step 3: Cross multiply
    981,847,946x = 1,524,506,115 × 1,524,506,115
  4. Step 4: Simplify right side
    981,847,946x = 2,324,118,894,672,393,216
  5. Step 5: Solve for x
    x = 2,324,118,894,672,393,216/981,847,946
  6. Step 6: Final answer
    x = 2,367,086,374.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.