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Finding the Third Proportional to 12,031,620 and 19,751,034

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Solution

The third proportional to 12,031,620 and 19,751,034 is: 32,423,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,620 : 19,751,034 = 19,751,034 : x
  2. Step 2: Convert to fraction form
    12,031,620/19,751,034 = 19,751,034/x
  3. Step 3: Cross multiply
    12,031,620x = 19,751,034 × 19,751,034
  4. Step 4: Simplify right side
    12,031,620x = 390,103,344,069,156
  5. Step 5: Solve for x
    x = 390,103,344,069,156/12,031,620
  6. Step 6: Final answer
    x = 32,423,176.93

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.