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Finding the Third Proportional to 6,400,408 and 13,996,364

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Solution

The third proportional to 6,400,408 and 13,996,364 is: 30,607,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400,408 : 13,996,364 = 13,996,364 : x
  2. Step 2: Convert to fraction form
    6,400,408/13,996,364 = 13,996,364/x
  3. Step 3: Cross multiply
    6,400,408x = 13,996,364 × 13,996,364
  4. Step 4: Simplify right side
    6,400,408x = 195,898,205,220,496
  5. Step 5: Solve for x
    x = 195,898,205,220,496/6,400,408
  6. Step 6: Final answer
    x = 30,607,143.36

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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.