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Finding the Third Proportional to 7,569,971 and 16,417,698

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Solution

The third proportional to 7,569,971 and 16,417,698 is: 35,606,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569,971 : 16,417,698 = 16,417,698 : x
  2. Step 2: Convert to fraction form
    7,569,971/16,417,698 = 16,417,698/x
  3. Step 3: Cross multiply
    7,569,971x = 16,417,698 × 16,417,698
  4. Step 4: Simplify right side
    7,569,971x = 269,540,807,619,204
  5. Step 5: Solve for x
    x = 269,540,807,619,204/7,569,971
  6. Step 6: Final answer
    x = 35,606,583.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.