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Finding the Third Proportional to 45,811,920 and 98,181,678

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Solution

The third proportional to 45,811,920 and 98,181,678 is: 210,417,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,811,920 : 98,181,678 = 98,181,678 : x
  2. Step 2: Convert to fraction form
    45,811,920/98,181,678 = 98,181,678/x
  3. Step 3: Cross multiply
    45,811,920x = 98,181,678 × 98,181,678
  4. Step 4: Simplify right side
    45,811,920x = 9,639,641,894,895,684
  5. Step 5: Solve for x
    x = 9,639,641,894,895,684/45,811,920
  6. Step 6: Final answer
    x = 210,417,766.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.