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Finding the Third Proportional to 25,666,434 and 39,146,121

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Solution

The third proportional to 25,666,434 and 39,146,121 is: 59,705,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666,434 : 39,146,121 = 39,146,121 : x
  2. Step 2: Convert to fraction form
    25,666,434/39,146,121 = 39,146,121/x
  3. Step 3: Cross multiply
    25,666,434x = 39,146,121 × 39,146,121
  4. Step 4: Simplify right side
    25,666,434x = 1,532,418,789,346,641
  5. Step 5: Solve for x
    x = 1,532,418,789,346,641/25,666,434
  6. Step 6: Final answer
    x = 59,705,169.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.