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Finding the Third Proportional to 10,678,840 and 22,114,720

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Solution

The third proportional to 10,678,840 and 22,114,720 is: 45,797,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678,840 : 22,114,720 = 22,114,720 : x
  2. Step 2: Convert to fraction form
    10,678,840/22,114,720 = 22,114,720/x
  3. Step 3: Cross multiply
    10,678,840x = 22,114,720 × 22,114,720
  4. Step 4: Simplify right side
    10,678,840x = 489,060,840,678,400
  5. Step 5: Solve for x
    x = 489,060,840,678,400/10,678,840
  6. Step 6: Final answer
    x = 45,797,187.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.