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Finding the Third Proportional to 1,098,878,967 and 2,357,278,152.75

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Solution

The third proportional to 1,098,878,967 and 2,357,278,152.75 is: 5,056,753,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,878,967 : 2,357,278,152.75 = 2,357,278,152.75 : x
  2. Step 2: Convert to fraction form
    1,098,878,967/2,357,278,152.75 = 2,357,278,152.75/x
  3. Step 3: Cross multiply
    1,098,878,967x = 2,357,278,152.75 × 2,357,278,152.75
  4. Step 4: Simplify right side
    1,098,878,967x = 5,556,760,289,432,452,096
  5. Step 5: Solve for x
    x = 5,556,760,289,432,452,096/1,098,878,967
  6. Step 6: Final answer
    x = 5,056,753,706.55

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Why These Related Problems?

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