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Finding the Third Proportional to 9,232,993 and 13,854,410

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Solution

The third proportional to 9,232,993 and 13,854,410 is: 20,788,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232,993 : 13,854,410 = 13,854,410 : x
  2. Step 2: Convert to fraction form
    9,232,993/13,854,410 = 13,854,410/x
  3. Step 3: Cross multiply
    9,232,993x = 13,854,410 × 13,854,410
  4. Step 4: Simplify right side
    9,232,993x = 191,944,676,448,100
  5. Step 5: Solve for x
    x = 191,944,676,448,100/9,232,993
  6. Step 6: Final answer
    x = 20,788,998.37

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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.