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Finding the Third Proportional to 10,308,370 and 15,147,013

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Solution

The third proportional to 10,308,370 and 15,147,013 is: 22,256,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308,370 : 15,147,013 = 15,147,013 : x
  2. Step 2: Convert to fraction form
    10,308,370/15,147,013 = 15,147,013/x
  3. Step 3: Cross multiply
    10,308,370x = 15,147,013 × 15,147,013
  4. Step 4: Simplify right side
    10,308,370x = 229,432,002,822,169
  5. Step 5: Solve for x
    x = 229,432,002,822,169/10,308,370
  6. Step 6: Final answer
    x = 22,256,865.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.