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Finding the Third Proportional to 12,232,416 and 19,433,448

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Solution

The third proportional to 12,232,416 and 19,433,448 is: 30,873,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232,416 : 19,433,448 = 19,433,448 : x
  2. Step 2: Convert to fraction form
    12,232,416/19,433,448 = 19,433,448/x
  3. Step 3: Cross multiply
    12,232,416x = 19,433,448 × 19,433,448
  4. Step 4: Simplify right side
    12,232,416x = 377,658,901,168,704
  5. Step 5: Solve for x
    x = 377,658,901,168,704/12,232,416
  6. Step 6: Final answer
    x = 30,873,614.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.