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Finding the Third Proportional to 25,534,074 and 38,210,643

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Solution

The third proportional to 25,534,074 and 38,210,643 is: 57,180,583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534,074 : 38,210,643 = 38,210,643 : x
  2. Step 2: Convert to fraction form
    25,534,074/38,210,643 = 38,210,643/x
  3. Step 3: Cross multiply
    25,534,074x = 38,210,643 × 38,210,643
  4. Step 4: Simplify right side
    25,534,074x = 1,460,053,238,473,449
  5. Step 5: Solve for x
    x = 1,460,053,238,473,449/25,534,074
  6. Step 6: Final answer
    x = 57,180,583.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.