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Finding the Third Proportional to 7,569,964.50 and 16,417,684.13

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Solution

The third proportional to 7,569,964.50 and 16,417,684.13 is: 35,606,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569,964.50 : 16,417,684.13 = 16,417,684.13 : x
  2. Step 2: Convert to fraction form
    7,569,964.50/16,417,684.13 = 16,417,684.13/x
  3. Step 3: Cross multiply
    7,569,964.50x = 16,417,684.13 × 16,417,684.13
  4. Step 4: Simplify right side
    7,569,964.50x = 269,540,352,028,277
  5. Step 5: Solve for x
    x = 269,540,352,028,277/7,569,964.50
  6. Step 6: Final answer
    x = 35,606,554.30

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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.