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Finding the Third Proportional to 2,125,703,038 and 2,992,153,876

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Solution

The third proportional to 2,125,703,038 and 2,992,153,876 is: 4,211,775,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,703,038 : 2,992,153,876 = 2,992,153,876 : x
  2. Step 2: Convert to fraction form
    2,125,703,038/2,992,153,876 = 2,992,153,876/x
  3. Step 3: Cross multiply
    2,125,703,038x = 2,992,153,876 × 2,992,153,876
  4. Step 4: Simplify right side
    2,125,703,038x = 8,952,984,817,661,822,976
  5. Step 5: Solve for x
    x = 8,952,984,817,661,822,976/2,125,703,038
  6. Step 6: Final answer
    x = 4,211,775,896.08

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.