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Finding the Third Proportional to 2,337,454,223,441 and 5,026,687,269,901

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Solution

The third proportional to 2,337,454,223,441 and 5,026,687,269,901 is: 10,809,873,689,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337,454,223,441 : 5,026,687,269,901 = 5,026,687,269,901 : x
  2. Step 2: Convert to fraction form
    2,337,454,223,441/5,026,687,269,901 = 5,026,687,269,901/x
  3. Step 3: Cross multiply
    2,337,454,223,441x = 5,026,687,269,901 × 5,026,687,269,901
  4. Step 4: Simplify right side
    2,337,454,223,441x = 25,267,584,909,384,769,563,787,264
  5. Step 5: Solve for x
    x = 25,267,584,909,384,769,563,787,264/2,337,454,223,441
  6. Step 6: Final answer
    x = 10,809,873,689,071.86

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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.