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Finding the Third Proportional to 7,442,654 and 15,962,185

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Solution

The third proportional to 7,442,654 and 15,962,185 is: 34,233,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,654 : 15,962,185 = 15,962,185 : x
  2. Step 2: Convert to fraction form
    7,442,654/15,962,185 = 15,962,185/x
  3. Step 3: Cross multiply
    7,442,654x = 15,962,185 × 15,962,185
  4. Step 4: Simplify right side
    7,442,654x = 254,791,349,974,225
  5. Step 5: Solve for x
    x = 254,791,349,974,225/7,442,654
  6. Step 6: Final answer
    x = 34,233,937.25

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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.