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Finding the Third Proportional to 41,987,267,302 and 92,532,877,100

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Solution

The third proportional to 41,987,267,302 and 92,532,877,100 is: 203,926,902,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,987,267,302 : 92,532,877,100 = 92,532,877,100 : x
  2. Step 2: Convert to fraction form
    41,987,267,302/92,532,877,100 = 92,532,877,100/x
  3. Step 3: Cross multiply
    41,987,267,302x = 92,532,877,100 × 92,532,877,100
  4. Step 4: Simplify right side
    41,987,267,302x = 8,562,333,344,403,704,250,368
  5. Step 5: Solve for x
    x = 8,562,333,344,403,704,250,368/41,987,267,302
  6. Step 6: Final answer
    x = 203,926,902,001.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.