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Finding the Third Proportional to 7,075,992 and 15,161,649

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Solution

The third proportional to 7,075,992 and 15,161,649 is: 32,486,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075,992 : 15,161,649 = 15,161,649 : x
  2. Step 2: Convert to fraction form
    7,075,992/15,161,649 = 15,161,649/x
  3. Step 3: Cross multiply
    7,075,992x = 15,161,649 × 15,161,649
  4. Step 4: Simplify right side
    7,075,992x = 229,875,600,399,201
  5. Step 5: Solve for x
    x = 229,875,600,399,201/7,075,992
  6. Step 6: Final answer
    x = 32,486,695.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.