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Finding the Third Proportional to 13,692,300 and 29,667,816

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Solution

The third proportional to 13,692,300 and 29,667,816 is: 64,282,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692,300 : 29,667,816 = 29,667,816 : x
  2. Step 2: Convert to fraction form
    13,692,300/29,667,816 = 29,667,816/x
  3. Step 3: Cross multiply
    13,692,300x = 29,667,816 × 29,667,816
  4. Step 4: Simplify right side
    13,692,300x = 880,179,306,209,856
  5. Step 5: Solve for x
    x = 880,179,306,209,856/13,692,300
  6. Step 6: Final answer
    x = 64,282,794.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.