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Finding the Third Proportional to 25,168,725 and 38,865,769.31

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Solution

The third proportional to 25,168,725 and 38,865,769.31 is: 60,016,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,168,725 : 38,865,769.31 = 38,865,769.31 : x
  2. Step 2: Convert to fraction form
    25,168,725/38,865,769.31 = 38,865,769.31/x
  3. Step 3: Cross multiply
    25,168,725x = 38,865,769.31 × 38,865,769.31
  4. Step 4: Simplify right side
    25,168,725x = 1,510,548,024,252,466.75
  5. Step 5: Solve for x
    x = 1,510,548,024,252,466.75/25,168,725
  6. Step 6: Final answer
    x = 60,016,867.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.