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Finding the Third Proportional to 9,982,938 and 15,335,014

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Solution

The third proportional to 9,982,938 and 15,335,014 is: 23,556,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,938 : 15,335,014 = 15,335,014 : x
  2. Step 2: Convert to fraction form
    9,982,938/15,335,014 = 15,335,014/x
  3. Step 3: Cross multiply
    9,982,938x = 15,335,014 × 15,335,014
  4. Step 4: Simplify right side
    9,982,938x = 235,162,654,380,196
  5. Step 5: Solve for x
    x = 235,162,654,380,196/9,982,938
  6. Step 6: Final answer
    x = 23,556,457.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.