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Finding the Third Proportional to 1,187,833,056.50 and 1,797,037,848.75

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Solution

The third proportional to 1,187,833,056.50 and 1,797,037,848.75 is: 2,718,685,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,833,056.50 : 1,797,037,848.75 = 1,797,037,848.75 : x
  2. Step 2: Convert to fraction form
    1,187,833,056.50/1,797,037,848.75 = 1,797,037,848.75/x
  3. Step 3: Cross multiply
    1,187,833,056.50x = 1,797,037,848.75 × 1,797,037,848.75
  4. Step 4: Simplify right side
    1,187,833,056.50x = 3,229,345,029,840,027,648
  5. Step 5: Solve for x
    x = 3,229,345,029,840,027,648/1,187,833,056.50
  6. Step 6: Final answer
    x = 2,718,685,940.06

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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.