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Finding the Third Proportional to 5,426,463.38 and 8,637,845.06

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Solution

The third proportional to 5,426,463.38 and 8,637,845.06 is: 13,749,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426,463.38 : 8,637,845.06 = 8,637,845.06 : x
  2. Step 2: Convert to fraction form
    5,426,463.38/8,637,845.06 = 8,637,845.06/x
  3. Step 3: Cross multiply
    5,426,463.38x = 8,637,845.06 × 8,637,845.06
  4. Step 4: Simplify right side
    5,426,463.38x = 74,612,367,323,755.62
  5. Step 5: Solve for x
    x = 74,612,367,323,755.62/5,426,463.38
  6. Step 6: Final answer
    x = 13,749,722.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.