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Finding the Third Proportional to 10,344,828 and 22,480,278

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Solution

The third proportional to 10,344,828 and 22,480,278 is: 48,851,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344,828 : 22,480,278 = 22,480,278 : x
  2. Step 2: Convert to fraction form
    10,344,828/22,480,278 = 22,480,278/x
  3. Step 3: Cross multiply
    10,344,828x = 22,480,278 × 22,480,278
  4. Step 4: Simplify right side
    10,344,828x = 505,362,898,957,284
  5. Step 5: Solve for x
    x = 505,362,898,957,284/10,344,828
  6. Step 6: Final answer
    x = 48,851,744.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.