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Finding the Third Proportional to 11,929,731 and 18,920,572.50

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Solution

The third proportional to 11,929,731 and 18,920,572.50 is: 30,008,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929,731 : 18,920,572.50 = 18,920,572.50 : x
  2. Step 2: Convert to fraction form
    11,929,731/18,920,572.50 = 18,920,572.50/x
  3. Step 3: Cross multiply
    11,929,731x = 18,920,572.50 × 18,920,572.50
  4. Step 4: Simplify right side
    11,929,731x = 357,988,063,727,756.25
  5. Step 5: Solve for x
    x = 357,988,063,727,756.25/11,929,731
  6. Step 6: Final answer
    x = 30,008,058.33

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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.