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Finding the Third Proportional to 6,762,209.25 and 10,472,457

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Solution

The third proportional to 6,762,209.25 and 10,472,457 is: 16,218,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762,209.25 : 10,472,457 = 10,472,457 : x
  2. Step 2: Convert to fraction form
    6,762,209.25/10,472,457 = 10,472,457/x
  3. Step 3: Cross multiply
    6,762,209.25x = 10,472,457 × 10,472,457
  4. Step 4: Simplify right side
    6,762,209.25x = 109,672,355,616,849
  5. Step 5: Solve for x
    x = 109,672,355,616,849/6,762,209.25
  6. Step 6: Final answer
    x = 16,218,420.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.