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Finding the Third Proportional to 2,897,341,591 and 6,276,016,797

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Solution

The third proportional to 2,897,341,591 and 6,276,016,797 is: 13,594,664,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,341,591 : 6,276,016,797 = 6,276,016,797 : x
  2. Step 2: Convert to fraction form
    2,897,341,591/6,276,016,797 = 6,276,016,797/x
  3. Step 3: Cross multiply
    2,897,341,591x = 6,276,016,797 × 6,276,016,797
  4. Step 4: Simplify right side
    2,897,341,591x = 39,388,386,836,226,138,112
  5. Step 5: Solve for x
    x = 39,388,386,836,226,138,112/2,897,341,591
  6. Step 6: Final answer
    x = 13,594,664,487.81

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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.