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Finding the Third Proportional to 402,167,862 and 867,822,120

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Solution

The third proportional to 402,167,862 and 867,822,120 is: 1,872,639,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,167,862 : 867,822,120 = 867,822,120 : x
  2. Step 2: Convert to fraction form
    402,167,862/867,822,120 = 867,822,120/x
  3. Step 3: Cross multiply
    402,167,862x = 867,822,120 × 867,822,120
  4. Step 4: Simplify right side
    402,167,862x = 753,115,231,961,294,336
  5. Step 5: Solve for x
    x = 753,115,231,961,294,336/402,167,862
  6. Step 6: Final answer
    x = 1,872,639,022.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.