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Finding the Third Proportional to 8,919,184 and 13,462,368

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Solution

The third proportional to 8,919,184 and 13,462,368 is: 20,319,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919,184 : 13,462,368 = 13,462,368 : x
  2. Step 2: Convert to fraction form
    8,919,184/13,462,368 = 13,462,368/x
  3. Step 3: Cross multiply
    8,919,184x = 13,462,368 × 13,462,368
  4. Step 4: Simplify right side
    8,919,184x = 181,235,352,167,424
  5. Step 5: Solve for x
    x = 181,235,352,167,424/8,919,184
  6. Step 6: Final answer
    x = 20,319,723.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.