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Finding the Third Proportional to 2,897,341,589 and 6,276,016,793

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Solution

The third proportional to 2,897,341,589 and 6,276,016,793 is: 13,594,664,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,341,589 : 6,276,016,793 = 6,276,016,793 : x
  2. Step 2: Convert to fraction form
    2,897,341,589/6,276,016,793 = 6,276,016,793/x
  3. Step 3: Cross multiply
    2,897,341,589x = 6,276,016,793 × 6,276,016,793
  4. Step 4: Simplify right side
    2,897,341,589x = 39,388,386,786,018,000,896
  5. Step 5: Solve for x
    x = 39,388,386,786,018,000,896/2,897,341,589
  6. Step 6: Final answer
    x = 13,594,664,479.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.