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Finding the Third Proportional to 6,207,982 and 9,577,768

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Solution

The third proportional to 6,207,982 and 9,577,768 is: 14,776,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207,982 : 9,577,768 = 9,577,768 : x
  2. Step 2: Convert to fraction form
    6,207,982/9,577,768 = 9,577,768/x
  3. Step 3: Cross multiply
    6,207,982x = 9,577,768 × 9,577,768
  4. Step 4: Simplify right side
    6,207,982x = 91,733,639,861,824
  5. Step 5: Solve for x
    x = 91,733,639,861,824/6,207,982
  6. Step 6: Final answer
    x = 14,776,724.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.