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Finding the Third Proportional to 4,896,470.88 and 10,643,027.91

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Solution

The third proportional to 4,896,470.88 and 10,643,027.91 is: 23,133,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896,470.88 : 10,643,027.91 = 10,643,027.91 : x
  2. Step 2: Convert to fraction form
    4,896,470.88/10,643,027.91 = 10,643,027.91/x
  3. Step 3: Cross multiply
    4,896,470.88x = 10,643,027.91 × 10,643,027.91
  4. Step 4: Simplify right side
    4,896,470.88x = 113,274,043,013,216.27
  5. Step 5: Solve for x
    x = 113,274,043,013,216.27/4,896,470.88
  6. Step 6: Final answer
    x = 23,133,813.26

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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.