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Finding the Third Proportional to 7,696,616.34 and 16,732,871.44

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Solution

The third proportional to 7,696,616.34 and 16,732,871.44 is: 36,378,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696,616.34 : 16,732,871.44 = 16,732,871.44 : x
  2. Step 2: Convert to fraction form
    7,696,616.34/16,732,871.44 = 16,732,871.44/x
  3. Step 3: Cross multiply
    7,696,616.34x = 16,732,871.44 × 16,732,871.44
  4. Step 4: Simplify right side
    7,696,616.34x = 279,988,986,543,903.31
  5. Step 5: Solve for x
    x = 279,988,986,543,903.31/7,696,616.34
  6. Step 6: Final answer
    x = 36,378,191.93

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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.