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Finding the Third Proportional to 13,986,006 and 21,600,117

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Solution

The third proportional to 13,986,006 and 21,600,117 is: 33,359,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986,006 : 21,600,117 = 21,600,117 : x
  2. Step 2: Convert to fraction form
    13,986,006/21,600,117 = 21,600,117/x
  3. Step 3: Cross multiply
    13,986,006x = 21,600,117 × 21,600,117
  4. Step 4: Simplify right side
    13,986,006x = 466,565,054,413,689
  5. Step 5: Solve for x
    x = 466,565,054,413,689/13,986,006
  6. Step 6: Final answer
    x = 33,359,420.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.