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Finding the Third Proportional to 1,098,878,980.50 and 2,357,278,186.50

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Solution

The third proportional to 1,098,878,980.50 and 2,357,278,186.50 is: 5,056,753,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,878,980.50 : 2,357,278,186.50 = 2,357,278,186.50 : x
  2. Step 2: Convert to fraction form
    1,098,878,980.50/2,357,278,186.50 = 2,357,278,186.50/x
  3. Step 3: Cross multiply
    1,098,878,980.50x = 2,357,278,186.50 × 2,357,278,186.50
  4. Step 4: Simplify right side
    1,098,878,980.50x = 5,556,760,448,548,728,832
  5. Step 5: Solve for x
    x = 5,556,760,448,548,728,832/1,098,878,980.50
  6. Step 6: Final answer
    x = 5,056,753,789.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.