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Finding the Third Proportional to 9,697,732 and 20,417,864

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Solution

The third proportional to 9,697,732 and 20,417,864 is: 42,988,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697,732 : 20,417,864 = 20,417,864 : x
  2. Step 2: Convert to fraction form
    9,697,732/20,417,864 = 20,417,864/x
  3. Step 3: Cross multiply
    9,697,732x = 20,417,864 × 20,417,864
  4. Step 4: Simplify right side
    9,697,732x = 416,889,170,322,496
  5. Step 5: Solve for x
    x = 416,889,170,322,496/9,697,732
  6. Step 6: Final answer
    x = 42,988,316.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.