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Finding the Third Proportional to 1,007,299,826 and 2,167,654,644

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Solution

The third proportional to 1,007,299,826 and 2,167,654,644 is: 4,664,675,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,299,826 : 2,167,654,644 = 2,167,654,644 : x
  2. Step 2: Convert to fraction form
    1,007,299,826/2,167,654,644 = 2,167,654,644/x
  3. Step 3: Cross multiply
    1,007,299,826x = 2,167,654,644 × 2,167,654,644
  4. Step 4: Simplify right side
    1,007,299,826x = 4,698,726,655,654,766,592
  5. Step 5: Solve for x
    x = 4,698,726,655,654,766,592/1,007,299,826
  6. Step 6: Final answer
    x = 4,664,675,337.35

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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.