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Finding the Third Proportional to 9,145,203 and 13,374,432

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Solution

The third proportional to 9,145,203 and 13,374,432 is: 19,559,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145,203 : 13,374,432 = 13,374,432 : x
  2. Step 2: Convert to fraction form
    9,145,203/13,374,432 = 13,374,432/x
  3. Step 3: Cross multiply
    9,145,203x = 13,374,432 × 13,374,432
  4. Step 4: Simplify right side
    9,145,203x = 178,875,431,322,624
  5. Step 5: Solve for x
    x = 178,875,431,322,624/9,145,203
  6. Step 6: Final answer
    x = 19,559,481.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.