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Finding the Third Proportional to 981,847,964 and 1,524,506,139

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Solution

The third proportional to 981,847,964 and 1,524,506,139 is: 2,367,086,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,847,964 : 1,524,506,139 = 1,524,506,139 : x
  2. Step 2: Convert to fraction form
    981,847,964/1,524,506,139 = 1,524,506,139/x
  3. Step 3: Cross multiply
    981,847,964x = 1,524,506,139 × 1,524,506,139
  4. Step 4: Simplify right side
    981,847,964x = 2,324,118,967,848,687,104
  5. Step 5: Solve for x
    x = 2,324,118,967,848,687,104/981,847,964
  6. Step 6: Final answer
    x = 2,367,086,405.50

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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.