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Finding the Third Proportional to 5,354,265.80 and 8,156,875.92

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Solution

The third proportional to 5,354,265.80 and 8,156,875.92 is: 12,426,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354,265.80 : 8,156,875.92 = 8,156,875.92 : x
  2. Step 2: Convert to fraction form
    5,354,265.80/8,156,875.92 = 8,156,875.92/x
  3. Step 3: Cross multiply
    5,354,265.80x = 8,156,875.92 × 8,156,875.92
  4. Step 4: Simplify right side
    5,354,265.80x = 66,534,624,804,864.13
  5. Step 5: Solve for x
    x = 66,534,624,804,864.13/5,354,265.80
  6. Step 6: Final answer
    x = 12,426,470.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.