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Finding the Third Proportional to 10,931,306 and 17,370,171

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Solution

The third proportional to 10,931,306 and 17,370,171 is: 27,601,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931,306 : 17,370,171 = 17,370,171 : x
  2. Step 2: Convert to fraction form
    10,931,306/17,370,171 = 17,370,171/x
  3. Step 3: Cross multiply
    10,931,306x = 17,370,171 × 17,370,171
  4. Step 4: Simplify right side
    10,931,306x = 301,722,840,569,241
  5. Step 5: Solve for x
    x = 301,722,840,569,241/10,931,306
  6. Step 6: Final answer
    x = 27,601,719.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.