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Finding the Third Proportional to 5,018,901.75 and 10,766,378.25

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Solution

The third proportional to 5,018,901.75 and 10,766,378.25 is: 23,095,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,018,901.75 : 10,766,378.25 = 10,766,378.25 : x
  2. Step 2: Convert to fraction form
    5,018,901.75/10,766,378.25 = 10,766,378.25/x
  3. Step 3: Cross multiply
    5,018,901.75x = 10,766,378.25 × 10,766,378.25
  4. Step 4: Simplify right side
    5,018,901.75x = 115,914,900,622,073.06
  5. Step 5: Solve for x
    x = 115,914,900,622,073.06/5,018,901.75
  6. Step 6: Final answer
    x = 23,095,670.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.