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Finding the Third Proportional to 402,167,934 and 867,822,252

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Solution

The third proportional to 402,167,934 and 867,822,252 is: 1,872,639,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,167,934 : 867,822,252 = 867,822,252 : x
  2. Step 2: Convert to fraction form
    402,167,934/867,822,252 = 867,822,252/x
  3. Step 3: Cross multiply
    402,167,934x = 867,822,252 × 867,822,252
  4. Step 4: Simplify right side
    402,167,934x = 753,115,461,066,351,488
  5. Step 5: Solve for x
    x = 753,115,461,066,351,488/402,167,934
  6. Step 6: Final answer
    x = 1,872,639,256.88

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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.