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Finding the Third Proportional to 9,700,768 and 15,217,666

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Solution

The third proportional to 9,700,768 and 15,217,666 is: 23,872,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,768 : 15,217,666 = 15,217,666 : x
  2. Step 2: Convert to fraction form
    9,700,768/15,217,666 = 15,217,666/x
  3. Step 3: Cross multiply
    9,700,768x = 15,217,666 × 15,217,666
  4. Step 4: Simplify right side
    9,700,768x = 231,577,358,487,556
  5. Step 5: Solve for x
    x = 231,577,358,487,556/9,700,768
  6. Step 6: Final answer
    x = 23,872,064.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.