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Finding the Third Proportional to 2,947,695.75 and 6,368,703.75

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Solution

The third proportional to 2,947,695.75 and 6,368,703.75 is: 13,760,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,695.75 : 6,368,703.75 = 6,368,703.75 : x
  2. Step 2: Convert to fraction form
    2,947,695.75/6,368,703.75 = 6,368,703.75/x
  3. Step 3: Cross multiply
    2,947,695.75x = 6,368,703.75 × 6,368,703.75
  4. Step 4: Simplify right side
    2,947,695.75x = 40,560,387,455,264.06
  5. Step 5: Solve for x
    x = 40,560,387,455,264.06/2,947,695.75
  6. Step 6: Final answer
    x = 13,760,031.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.