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Finding the Third Proportional to 10,115,944 and 22,120,304

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Solution

The third proportional to 10,115,944 and 22,120,304 is: 48,369,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115,944 : 22,120,304 = 22,120,304 : x
  2. Step 2: Convert to fraction form
    10,115,944/22,120,304 = 22,120,304/x
  3. Step 3: Cross multiply
    10,115,944x = 22,120,304 × 22,120,304
  4. Step 4: Simplify right side
    10,115,944x = 489,307,849,052,416
  5. Step 5: Solve for x
    x = 489,307,849,052,416/10,115,944
  6. Step 6: Final answer
    x = 48,369,964.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.