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Finding the Third Proportional to 7,181,692 and 15,358,710

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Solution

The third proportional to 7,181,692 and 15,358,710 is: 32,846,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181,692 : 15,358,710 = 15,358,710 : x
  2. Step 2: Convert to fraction form
    7,181,692/15,358,710 = 15,358,710/x
  3. Step 3: Cross multiply
    7,181,692x = 15,358,710 × 15,358,710
  4. Step 4: Simplify right side
    7,181,692x = 235,889,972,864,100
  5. Step 5: Solve for x
    x = 235,889,972,864,100/7,181,692
  6. Step 6: Final answer
    x = 32,846,016.35

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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.