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Finding the Third Proportional to 7,075,400 and 11,221,650

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Solution

The third proportional to 7,075,400 and 11,221,650 is: 17,797,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075,400 : 11,221,650 = 11,221,650 : x
  2. Step 2: Convert to fraction form
    7,075,400/11,221,650 = 11,221,650/x
  3. Step 3: Cross multiply
    7,075,400x = 11,221,650 × 11,221,650
  4. Step 4: Simplify right side
    7,075,400x = 125,925,428,722,500
  5. Step 5: Solve for x
    x = 125,925,428,722,500/7,075,400
  6. Step 6: Final answer
    x = 17,797,640.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.