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Finding the Third Proportional to 9,917,824 and 15,325,560

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Solution

The third proportional to 9,917,824 and 15,325,560 is: 23,681,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917,824 : 15,325,560 = 15,325,560 : x
  2. Step 2: Convert to fraction form
    9,917,824/15,325,560 = 15,325,560/x
  3. Step 3: Cross multiply
    9,917,824x = 15,325,560 × 15,325,560
  4. Step 4: Simplify right side
    9,917,824x = 234,872,789,313,600
  5. Step 5: Solve for x
    x = 234,872,789,313,600/9,917,824
  6. Step 6: Final answer
    x = 23,681,887.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.