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Finding the Third Proportional to 1,160,161,192 and 1,840,087,633

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Solution

The third proportional to 1,160,161,192 and 1,840,087,633 is: 2,918,493,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,161,192 : 1,840,087,633 = 1,840,087,633 : x
  2. Step 2: Convert to fraction form
    1,160,161,192/1,840,087,633 = 1,840,087,633/x
  3. Step 3: Cross multiply
    1,160,161,192x = 1,840,087,633 × 1,840,087,633
  4. Step 4: Simplify right side
    1,160,161,192x = 3,385,922,497,119,542,784
  5. Step 5: Solve for x
    x = 3,385,922,497,119,542,784/1,160,161,192
  6. Step 6: Final answer
    x = 2,918,493,154.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.