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Finding the Third Proportional to 29,921,715 and 45,485,880.75

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Solution

The third proportional to 29,921,715 and 45,485,880.75 is: 69,145,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,921,715 : 45,485,880.75 = 45,485,880.75 : x
  2. Step 2: Convert to fraction form
    29,921,715/45,485,880.75 = 45,485,880.75/x
  3. Step 3: Cross multiply
    29,921,715x = 45,485,880.75 × 45,485,880.75
  4. Step 4: Simplify right side
    29,921,715x = 2,068,965,347,603,220.50
  5. Step 5: Solve for x
    x = 2,068,965,347,603,220.50/29,921,715
  6. Step 6: Final answer
    x = 69,145,947.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.