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Finding the Third Proportional to 10,303,204 and 22,376,312

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Solution

The third proportional to 10,303,204 and 22,376,312 is: 48,596,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303,204 : 22,376,312 = 22,376,312 : x
  2. Step 2: Convert to fraction form
    10,303,204/22,376,312 = 22,376,312/x
  3. Step 3: Cross multiply
    10,303,204x = 22,376,312 × 22,376,312
  4. Step 4: Simplify right side
    10,303,204x = 500,699,338,721,344
  5. Step 5: Solve for x
    x = 500,699,338,721,344/10,303,204
  6. Step 6: Final answer
    x = 48,596,469.48

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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.