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Finding the Third Proportional to 6,594,420 and 13,897,320

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Solution

The third proportional to 6,594,420 and 13,897,320 is: 29,287,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,420 : 13,897,320 = 13,897,320 : x
  2. Step 2: Convert to fraction form
    6,594,420/13,897,320 = 13,897,320/x
  3. Step 3: Cross multiply
    6,594,420x = 13,897,320 × 13,897,320
  4. Step 4: Simplify right side
    6,594,420x = 193,135,503,182,400
  5. Step 5: Solve for x
    x = 193,135,503,182,400/6,594,420
  6. Step 6: Final answer
    x = 29,287,716.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.