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Finding the Third Proportional to 9,002,310 and 19,712,184

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Solution

The third proportional to 9,002,310 and 19,712,184 is: 43,163,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002,310 : 19,712,184 = 19,712,184 : x
  2. Step 2: Convert to fraction form
    9,002,310/19,712,184 = 19,712,184/x
  3. Step 3: Cross multiply
    9,002,310x = 19,712,184 × 19,712,184
  4. Step 4: Simplify right side
    9,002,310x = 388,570,198,049,856
  5. Step 5: Solve for x
    x = 388,570,198,049,856/9,002,310
  6. Step 6: Final answer
    x = 43,163,387.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.