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Finding the Third Proportional to 20,200,032 and 31,342,143

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Solution

The third proportional to 20,200,032 and 31,342,143 is: 48,630,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200,032 : 31,342,143 = 31,342,143 : x
  2. Step 2: Convert to fraction form
    20,200,032/31,342,143 = 31,342,143/x
  3. Step 3: Cross multiply
    20,200,032x = 31,342,143 × 31,342,143
  4. Step 4: Simplify right side
    20,200,032x = 982,329,927,832,449
  5. Step 5: Solve for x
    x = 982,329,927,832,449/20,200,032
  6. Step 6: Final answer
    x = 48,630,117.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.