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Finding the Third Proportional to 9,739,700 and 15,140,055

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Solution

The third proportional to 9,739,700 and 15,140,055 is: 23,534,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739,700 : 15,140,055 = 15,140,055 : x
  2. Step 2: Convert to fraction form
    9,739,700/15,140,055 = 15,140,055/x
  3. Step 3: Cross multiply
    9,739,700x = 15,140,055 × 15,140,055
  4. Step 4: Simplify right side
    9,739,700x = 229,221,265,403,025
  5. Step 5: Solve for x
    x = 229,221,265,403,025/9,739,700
  6. Step 6: Final answer
    x = 23,534,735.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.