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Finding the Third Proportional to 10,773,972 and 23,257,206

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Solution

The third proportional to 10,773,972 and 23,257,206 is: 50,204,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773,972 : 23,257,206 = 23,257,206 : x
  2. Step 2: Convert to fraction form
    10,773,972/23,257,206 = 23,257,206/x
  3. Step 3: Cross multiply
    10,773,972x = 23,257,206 × 23,257,206
  4. Step 4: Simplify right side
    10,773,972x = 540,897,630,926,436
  5. Step 5: Solve for x
    x = 540,897,630,926,436/10,773,972
  6. Step 6: Final answer
    x = 50,204,105.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.