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Finding the Third Proportional to 2,452,813,581 and 3,678,319,873.50

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Solution

The third proportional to 2,452,813,581 and 3,678,319,873.50 is: 5,516,129,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,813,581 : 3,678,319,873.50 = 3,678,319,873.50 : x
  2. Step 2: Convert to fraction form
    2,452,813,581/3,678,319,873.50 = 3,678,319,873.50/x
  3. Step 3: Cross multiply
    2,452,813,581x = 3,678,319,873.50 × 3,678,319,873.50
  4. Step 4: Simplify right side
    2,452,813,581x = 13,530,037,091,785,056,256
  5. Step 5: Solve for x
    x = 13,530,037,091,785,056,256/2,452,813,581
  6. Step 6: Final answer
    x = 5,516,129,393.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.