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Finding the Third Proportional to 10,034,412 and 15,074,228

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Solution

The third proportional to 10,034,412 and 15,074,228 is: 22,645,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034,412 : 15,074,228 = 15,074,228 : x
  2. Step 2: Convert to fraction form
    10,034,412/15,074,228 = 15,074,228/x
  3. Step 3: Cross multiply
    10,034,412x = 15,074,228 × 15,074,228
  4. Step 4: Simplify right side
    10,034,412x = 227,232,349,795,984
  5. Step 5: Solve for x
    x = 227,232,349,795,984/10,034,412
  6. Step 6: Final answer
    x = 22,645,307.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.