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Finding the Third Proportional to 884,022,260.06 and 1,473,281,639.72

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Solution

The third proportional to 884,022,260.06 and 1,473,281,639.72 is: 2,455,321,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,022,260.06 : 1,473,281,639.72 = 1,473,281,639.72 : x
  2. Step 2: Convert to fraction form
    884,022,260.06/1,473,281,639.72 = 1,473,281,639.72/x
  3. Step 3: Cross multiply
    884,022,260.06x = 1,473,281,639.72 × 1,473,281,639.72
  4. Step 4: Simplify right side
    884,022,260.06x = 2,170,558,789,932,516,096
  5. Step 5: Solve for x
    x = 2,170,558,789,932,516,096/884,022,260.06
  6. Step 6: Final answer
    x = 2,455,321,418.92

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.