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Finding the Third Proportional to 6,947,748 and 15,309,027

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Solution

The third proportional to 6,947,748 and 15,309,027 is: 33,732,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,748 : 15,309,027 = 15,309,027 : x
  2. Step 2: Convert to fraction form
    6,947,748/15,309,027 = 15,309,027/x
  3. Step 3: Cross multiply
    6,947,748x = 15,309,027 × 15,309,027
  4. Step 4: Simplify right side
    6,947,748x = 234,366,307,686,729
  5. Step 5: Solve for x
    x = 234,366,307,686,729/6,947,748
  6. Step 6: Final answer
    x = 33,732,701.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.