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Finding the Third Proportional to 20,034,972 and 31,750,242.75

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Solution

The third proportional to 20,034,972 and 31,750,242.75 is: 50,315,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034,972 : 31,750,242.75 = 31,750,242.75 : x
  2. Step 2: Convert to fraction form
    20,034,972/31,750,242.75 = 31,750,242.75/x
  3. Step 3: Cross multiply
    20,034,972x = 31,750,242.75 × 31,750,242.75
  4. Step 4: Simplify right side
    20,034,972x = 1,008,077,914,683,927.50
  5. Step 5: Solve for x
    x = 1,008,077,914,683,927.50/20,034,972
  6. Step 6: Final answer
    x = 50,315,913.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.