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Finding the Third Proportional to 884,661,682.50 and 1,373,605,867.13

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Solution

The third proportional to 884,661,682.50 and 1,373,605,867.13 is: 2,132,784,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,661,682.50 : 1,373,605,867.13 = 1,373,605,867.13 : x
  2. Step 2: Convert to fraction form
    884,661,682.50/1,373,605,867.13 = 1,373,605,867.13/x
  3. Step 3: Cross multiply
    884,661,682.50x = 1,373,605,867.13 × 1,373,605,867.13
  4. Step 4: Simplify right side
    884,661,682.50x = 1,886,793,078,200,223,232
  5. Step 5: Solve for x
    x = 1,886,793,078,200,223,232/884,661,682.50
  6. Step 6: Final answer
    x = 2,132,784,900.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.