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Finding the Third Proportional to 14,914,974 and 32,109,410

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Solution

The third proportional to 14,914,974 and 32,109,410 is: 69,126,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914,974 : 32,109,410 = 32,109,410 : x
  2. Step 2: Convert to fraction form
    14,914,974/32,109,410 = 32,109,410/x
  3. Step 3: Cross multiply
    14,914,974x = 32,109,410 × 32,109,410
  4. Step 4: Simplify right side
    14,914,974x = 1,031,014,210,548,100
  5. Step 5: Solve for x
    x = 1,031,014,210,548,100/14,914,974
  6. Step 6: Final answer
    x = 69,126,115.17

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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.