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Finding the Third Proportional to 2,427,201,006 and 5,326,844,664

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Solution

The third proportional to 2,427,201,006 and 5,326,844,664 is: 11,690,533,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427,201,006 : 5,326,844,664 = 5,326,844,664 : x
  2. Step 2: Convert to fraction form
    2,427,201,006/5,326,844,664 = 5,326,844,664/x
  3. Step 3: Cross multiply
    2,427,201,006x = 5,326,844,664 × 5,326,844,664
  4. Step 4: Simplify right side
    2,427,201,006x = 28,375,274,074,385,272,832
  5. Step 5: Solve for x
    x = 28,375,274,074,385,272,832/2,427,201,006
  6. Step 6: Final answer
    x = 11,690,533,253.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.