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Finding the Third Proportional to 25,684,676.25 and 38,744,742.75

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Solution

The third proportional to 25,684,676.25 and 38,744,742.75 is: 58,445,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684,676.25 : 38,744,742.75 = 38,744,742.75 : x
  2. Step 2: Convert to fraction form
    25,684,676.25/38,744,742.75 = 38,744,742.75/x
  3. Step 3: Cross multiply
    25,684,676.25x = 38,744,742.75 × 38,744,742.75
  4. Step 4: Simplify right side
    25,684,676.25x = 1,501,155,090,763,677.50
  5. Step 5: Solve for x
    x = 1,501,155,090,763,677.50/25,684,676.25
  6. Step 6: Final answer
    x = 58,445,552.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.