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Finding the Third Proportional to 2,897,341,650 and 6,276,016,926

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Solution

The third proportional to 2,897,341,650 and 6,276,016,926 is: 13,594,664,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,341,650 : 6,276,016,926 = 6,276,016,926 : x
  2. Step 2: Convert to fraction form
    2,897,341,650/6,276,016,926 = 6,276,016,926/x
  3. Step 3: Cross multiply
    2,897,341,650x = 6,276,016,926 × 6,276,016,926
  4. Step 4: Simplify right side
    2,897,341,650x = 39,388,388,455,438,491,648
  5. Step 5: Solve for x
    x = 39,388,388,455,438,491,648/2,897,341,650
  6. Step 6: Final answer
    x = 13,594,664,769.84

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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.