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Finding the Third Proportional to 130,353,846 and 283,127,862

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Solution

The third proportional to 130,353,846 and 283,127,862 is: 614,952,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,353,846 : 283,127,862 = 283,127,862 : x
  2. Step 2: Convert to fraction form
    130,353,846/283,127,862 = 283,127,862/x
  3. Step 3: Cross multiply
    130,353,846x = 283,127,862 × 283,127,862
  4. Step 4: Simplify right side
    130,353,846x = 80,161,386,240,691,040
  5. Step 5: Solve for x
    x = 80,161,386,240,691,040/130,353,846
  6. Step 6: Final answer
    x = 614,952,214.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.