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Finding the Third Proportional to 6,689,616 and 14,678,472

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Solution

The third proportional to 6,689,616 and 14,678,472 is: 32,207,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689,616 : 14,678,472 = 14,678,472 : x
  2. Step 2: Convert to fraction form
    6,689,616/14,678,472 = 14,678,472/x
  3. Step 3: Cross multiply
    6,689,616x = 14,678,472 × 14,678,472
  4. Step 4: Simplify right side
    6,689,616x = 215,457,540,254,784
  5. Step 5: Solve for x
    x = 215,457,540,254,784/6,689,616
  6. Step 6: Final answer
    x = 32,207,759.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.