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Finding the Third Proportional to 31,877,608,749 and 69,760,260,226.50

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Solution

The third proportional to 31,877,608,749 and 69,760,260,226.50 is: 152,661,824,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877,608,749 : 69,760,260,226.50 = 69,760,260,226.50 : x
  2. Step 2: Convert to fraction form
    31,877,608,749/69,760,260,226.50 = 69,760,260,226.50/x
  3. Step 3: Cross multiply
    31,877,608,749x = 69,760,260,226.50 × 69,760,260,226.50
  4. Step 4: Simplify right side
    31,877,608,749x = 4,866,493,906,868,997,455,872
  5. Step 5: Solve for x
    x = 4,866,493,906,868,997,455,872/31,877,608,749
  6. Step 6: Final answer
    x = 152,661,824,329.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.