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Finding the Third Proportional to 6,932,342 and 14,960,780

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Solution

The third proportional to 6,932,342 and 14,960,780 is: 32,287,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932,342 : 14,960,780 = 14,960,780 : x
  2. Step 2: Convert to fraction form
    6,932,342/14,960,780 = 14,960,780/x
  3. Step 3: Cross multiply
    6,932,342x = 14,960,780 × 14,960,780
  4. Step 4: Simplify right side
    6,932,342x = 223,824,938,208,400
  5. Step 5: Solve for x
    x = 223,824,938,208,400/6,932,342
  6. Step 6: Final answer
    x = 32,287,059.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.