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Finding the Third Proportional to 1,181,666,792 and 2,735,347,124

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Solution

The third proportional to 1,181,666,792 and 2,735,347,124 is: 6,331,839,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,666,792 : 2,735,347,124 = 2,735,347,124 : x
  2. Step 2: Convert to fraction form
    1,181,666,792/2,735,347,124 = 2,735,347,124/x
  3. Step 3: Cross multiply
    1,181,666,792x = 2,735,347,124 × 2,735,347,124
  4. Step 4: Simplify right side
    1,181,666,792x = 7,482,123,888,775,071,744
  5. Step 5: Solve for x
    x = 7,482,123,888,775,071,744/1,181,666,792
  6. Step 6: Final answer
    x = 6,331,839,008.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.