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Finding the Third Proportional to 9,738,356 and 15,197,076

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Solution

The third proportional to 9,738,356 and 15,197,076 is: 23,715,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738,356 : 15,197,076 = 15,197,076 : x
  2. Step 2: Convert to fraction form
    9,738,356/15,197,076 = 15,197,076/x
  3. Step 3: Cross multiply
    9,738,356x = 15,197,076 × 15,197,076
  4. Step 4: Simplify right side
    9,738,356x = 230,951,118,949,776
  5. Step 5: Solve for x
    x = 230,951,118,949,776/9,738,356
  6. Step 6: Final answer
    x = 23,715,616.78

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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.