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Finding the Third Proportional to 10,230,090 and 22,162,902

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Solution

The third proportional to 10,230,090 and 22,162,902 is: 48,014,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230,090 : 22,162,902 = 22,162,902 : x
  2. Step 2: Convert to fraction form
    10,230,090/22,162,902 = 22,162,902/x
  3. Step 3: Cross multiply
    10,230,090x = 22,162,902 × 22,162,902
  4. Step 4: Simplify right side
    10,230,090x = 491,194,225,061,604
  5. Step 5: Solve for x
    x = 491,194,225,061,604/10,230,090
  6. Step 6: Final answer
    x = 48,014,653.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.