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Finding the Third Proportional to 12,566,926.13 and 19,539,149.63

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Solution

The third proportional to 12,566,926.13 and 19,539,149.63 is: 30,379,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566,926.13 : 19,539,149.63 = 19,539,149.63 : x
  2. Step 2: Convert to fraction form
    12,566,926.13/19,539,149.63 = 19,539,149.63/x
  3. Step 3: Cross multiply
    12,566,926.13x = 19,539,149.63 × 19,539,149.63
  4. Step 4: Simplify right side
    12,566,926.13x = 381,778,368,068,137.62
  5. Step 5: Solve for x
    x = 381,778,368,068,137.62/12,566,926.13
  6. Step 6: Final answer
    x = 30,379,614.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.