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Finding the Third Proportional to 7,075,996 and 15,161,657

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Solution

The third proportional to 7,075,996 and 15,161,657 is: 32,486,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075,996 : 15,161,657 = 15,161,657 : x
  2. Step 2: Convert to fraction form
    7,075,996/15,161,657 = 15,161,657/x
  3. Step 3: Cross multiply
    7,075,996x = 15,161,657 × 15,161,657
  4. Step 4: Simplify right side
    7,075,996x = 229,875,842,985,649
  5. Step 5: Solve for x
    x = 229,875,842,985,649/7,075,996
  6. Step 6: Final answer
    x = 32,486,711.83

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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.