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Finding the Third Proportional to 7,327,390 and 15,663,164

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Solution

The third proportional to 7,327,390 and 15,663,164 is: 33,481,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327,390 : 15,663,164 = 15,663,164 : x
  2. Step 2: Convert to fraction form
    7,327,390/15,663,164 = 15,663,164/x
  3. Step 3: Cross multiply
    7,327,390x = 15,663,164 × 15,663,164
  4. Step 4: Simplify right side
    7,327,390x = 245,334,706,490,896
  5. Step 5: Solve for x
    x = 245,334,706,490,896/7,327,390
  6. Step 6: Final answer
    x = 33,481,868.24

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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.