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Finding the Third Proportional to 4,493,737,788 and 9,769,634,658

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Solution

The third proportional to 4,493,737,788 and 9,769,634,658 is: 21,239,726,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493,737,788 : 9,769,634,658 = 9,769,634,658 : x
  2. Step 2: Convert to fraction form
    4,493,737,788/9,769,634,658 = 9,769,634,658/x
  3. Step 3: Cross multiply
    4,493,737,788x = 9,769,634,658 × 9,769,634,658
  4. Step 4: Simplify right side
    4,493,737,788x = 95,445,761,350,794,772,480
  5. Step 5: Solve for x
    x = 95,445,761,350,794,772,480/4,493,737,788
  6. Step 6: Final answer
    x = 21,239,726,449.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.