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Finding the Third Proportional to 25,534,081 and 38,210,652.50

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Solution

The third proportional to 25,534,081 and 38,210,652.50 is: 57,180,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534,081 : 38,210,652.50 = 38,210,652.50 : x
  2. Step 2: Convert to fraction form
    25,534,081/38,210,652.50 = 38,210,652.50/x
  3. Step 3: Cross multiply
    25,534,081x = 38,210,652.50 × 38,210,652.50
  4. Step 4: Simplify right side
    25,534,081x = 1,460,053,964,475,756.25
  5. Step 5: Solve for x
    x = 1,460,053,964,475,756.25/25,534,081
  6. Step 6: Final answer
    x = 57,180,595.79

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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.