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Finding the Third Proportional to 3,635,280.21 and 7,876,417.96

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Solution

The third proportional to 3,635,280.21 and 7,876,417.96 is: 17,065,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635,280.21 : 7,876,417.96 = 7,876,417.96 : x
  2. Step 2: Convert to fraction form
    3,635,280.21/7,876,417.96 = 7,876,417.96/x
  3. Step 3: Cross multiply
    3,635,280.21x = 7,876,417.96 × 7,876,417.96
  4. Step 4: Simplify right side
    3,635,280.21x = 62,037,959,833,840.40
  5. Step 5: Solve for x
    x = 62,037,959,833,840.40/3,635,280.21
  6. Step 6: Final answer
    x = 17,065,523.49

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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.