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Finding the Third Proportional to 9,738,045 and 15,196,636

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Solution

The third proportional to 9,738,045 and 15,196,636 is: 23,715,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738,045 : 15,196,636 = 15,196,636 : x
  2. Step 2: Convert to fraction form
    9,738,045/15,196,636 = 15,196,636/x
  3. Step 3: Cross multiply
    9,738,045x = 15,196,636 × 15,196,636
  4. Step 4: Simplify right side
    9,738,045x = 230,937,745,716,496
  5. Step 5: Solve for x
    x = 230,937,745,716,496/9,738,045
  6. Step 6: Final answer
    x = 23,715,000.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.