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Finding the Third Proportional to 3,640,580.38 and 5,652,695.11

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Solution

The third proportional to 3,640,580.38 and 5,652,695.11 is: 8,776,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640,580.38 : 5,652,695.11 = 5,652,695.11 : x
  2. Step 2: Convert to fraction form
    3,640,580.38/5,652,695.11 = 5,652,695.11/x
  3. Step 3: Cross multiply
    3,640,580.38x = 5,652,695.11 × 5,652,695.11
  4. Step 4: Simplify right side
    3,640,580.38x = 31,952,961,999,552.04
  5. Step 5: Solve for x
    x = 31,952,961,999,552.04/3,640,580.38
  6. Step 6: Final answer
    x = 8,776,886.82

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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.