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Finding the Third Proportional to 31,208,876 and 67,735,924

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Solution

The third proportional to 31,208,876 and 67,735,924 is: 147,014,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208,876 : 67,735,924 = 67,735,924 : x
  2. Step 2: Convert to fraction form
    31,208,876/67,735,924 = 67,735,924/x
  3. Step 3: Cross multiply
    31,208,876x = 67,735,924 × 67,735,924
  4. Step 4: Simplify right side
    31,208,876x = 4,588,155,400,133,776
  5. Step 5: Solve for x
    x = 4,588,155,400,133,776/31,208,876
  6. Step 6: Final answer
    x = 147,014,439.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.