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Finding the Third Proportional to 2,581,436,769 and 3,902,888,497.50

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Solution

The third proportional to 2,581,436,769 and 3,902,888,497.50 is: 5,900,798,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,436,769 : 3,902,888,497.50 = 3,902,888,497.50 : x
  2. Step 2: Convert to fraction form
    2,581,436,769/3,902,888,497.50 = 3,902,888,497.50/x
  3. Step 3: Cross multiply
    2,581,436,769x = 3,902,888,497.50 × 3,902,888,497.50
  4. Step 4: Simplify right side
    2,581,436,769x = 15,232,538,623,917,807,616
  5. Step 5: Solve for x
    x = 15,232,538,623,917,807,616/2,581,436,769
  6. Step 6: Final answer
    x = 5,900,798,658.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.