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Finding the Third Proportional to 31,264,672 and 67,876,832

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Solution

The third proportional to 31,264,672 and 67,876,832 is: 147,363,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,264,672 : 67,876,832 = 67,876,832 : x
  2. Step 2: Convert to fraction form
    31,264,672/67,876,832 = 67,876,832/x
  3. Step 3: Cross multiply
    31,264,672x = 67,876,832 × 67,876,832
  4. Step 4: Simplify right side
    31,264,672x = 4,607,264,322,356,224
  5. Step 5: Solve for x
    x = 4,607,264,322,356,224/31,264,672
  6. Step 6: Final answer
    x = 147,363,270.67

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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.