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Finding the Third Proportional to 773,724,174 and 1,699,448,505

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Solution

The third proportional to 773,724,174 and 1,699,448,505 is: 3,732,758,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,724,174 : 1,699,448,505 = 1,699,448,505 : x
  2. Step 2: Convert to fraction form
    773,724,174/1,699,448,505 = 1,699,448,505/x
  3. Step 3: Cross multiply
    773,724,174x = 1,699,448,505 × 1,699,448,505
  4. Step 4: Simplify right side
    773,724,174x = 2,888,125,221,146,735,104
  5. Step 5: Solve for x
    x = 2,888,125,221,146,735,104/773,724,174
  6. Step 6: Final answer
    x = 3,732,758,156.20

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