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Finding the Third Proportional to 6,400,412 and 13,996,372

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Solution

The third proportional to 6,400,412 and 13,996,372 is: 30,607,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400,412 : 13,996,372 = 13,996,372 : x
  2. Step 2: Convert to fraction form
    6,400,412/13,996,372 = 13,996,372/x
  3. Step 3: Cross multiply
    6,400,412x = 13,996,372 × 13,996,372
  4. Step 4: Simplify right side
    6,400,412x = 195,898,429,162,384
  5. Step 5: Solve for x
    x = 195,898,429,162,384/6,400,412
  6. Step 6: Final answer
    x = 30,607,159.22

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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.