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Finding the Third Proportional to 10,023,856 and 15,270,780

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Solution

The third proportional to 10,023,856 and 15,270,780 is: 23,264,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023,856 : 15,270,780 = 15,270,780 : x
  2. Step 2: Convert to fraction form
    10,023,856/15,270,780 = 15,270,780/x
  3. Step 3: Cross multiply
    10,023,856x = 15,270,780 × 15,270,780
  4. Step 4: Simplify right side
    10,023,856x = 233,196,721,808,400
  5. Step 5: Solve for x
    x = 233,196,721,808,400/10,023,856
  6. Step 6: Final answer
    x = 23,264,173.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.