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Finding the Third Proportional to 7,569,969 and 16,417,692

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Solution

The third proportional to 7,569,969 and 16,417,692 is: 35,606,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569,969 : 16,417,692 = 16,417,692 : x
  2. Step 2: Convert to fraction form
    7,569,969/16,417,692 = 16,417,692/x
  3. Step 3: Cross multiply
    7,569,969x = 16,417,692 × 16,417,692
  4. Step 4: Simplify right side
    7,569,969x = 269,540,610,606,864
  5. Step 5: Solve for x
    x = 269,540,610,606,864/7,569,969
  6. Step 6: Final answer
    x = 35,606,567.29

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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.