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Finding the Third Proportional to 6,393,448 and 13,693,772

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Solution

The third proportional to 6,393,448 and 13,693,772 is: 29,329,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,448 : 13,693,772 = 13,693,772 : x
  2. Step 2: Convert to fraction form
    6,393,448/13,693,772 = 13,693,772/x
  3. Step 3: Cross multiply
    6,393,448x = 13,693,772 × 13,693,772
  4. Step 4: Simplify right side
    6,393,448x = 187,519,391,587,984
  5. Step 5: Solve for x
    x = 187,519,391,587,984/6,393,448
  6. Step 6: Final answer
    x = 29,329,931.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.