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Finding the Third Proportional to 423,691,814 and 912,307,963

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Solution

The third proportional to 423,691,814 and 912,307,963 is: 1,964,413,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,691,814 : 912,307,963 = 912,307,963 : x
  2. Step 2: Convert to fraction form
    423,691,814/912,307,963 = 912,307,963/x
  3. Step 3: Cross multiply
    423,691,814x = 912,307,963 × 912,307,963
  4. Step 4: Simplify right side
    423,691,814x = 832,305,819,353,209,344
  5. Step 5: Solve for x
    x = 832,305,819,353,209,344/423,691,814
  6. Step 6: Final answer
    x = 1,964,413,264.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.