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Finding the Third Proportional to 9,100,084 and 13,707,798

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Solution

The third proportional to 9,100,084 and 13,707,798 is: 20,648,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100,084 : 13,707,798 = 13,707,798 : x
  2. Step 2: Convert to fraction form
    9,100,084/13,707,798 = 13,707,798/x
  3. Step 3: Cross multiply
    9,100,084x = 13,707,798 × 13,707,798
  4. Step 4: Simplify right side
    9,100,084x = 187,903,726,008,804
  5. Step 5: Solve for x
    x = 187,903,726,008,804/9,100,084
  6. Step 6: Final answer
    x = 20,648,570.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.