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Finding the Third Proportional to 423,691,872 and 912,308,076

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Solution

The third proportional to 423,691,872 and 912,308,076 is: 1,964,413,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,691,872 : 912,308,076 = 912,308,076 : x
  2. Step 2: Convert to fraction form
    423,691,872/912,308,076 = 912,308,076/x
  3. Step 3: Cross multiply
    423,691,872x = 912,308,076 × 912,308,076
  4. Step 4: Simplify right side
    423,691,872x = 832,306,025,534,821,760
  5. Step 5: Solve for x
    x = 832,306,025,534,821,760/423,691,872
  6. Step 6: Final answer
    x = 1,964,413,481.92

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