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Finding the Third Proportional to 8,382,751,989.75 and 17,011,826,883

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Solution

The third proportional to 8,382,751,989.75 and 17,011,826,883 is: 34,523,537,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382,751,989.75 : 17,011,826,883 = 17,011,826,883 : x
  2. Step 2: Convert to fraction form
    8,382,751,989.75/17,011,826,883 = 17,011,826,883/x
  3. Step 3: Cross multiply
    8,382,751,989.75x = 17,011,826,883 × 17,011,826,883
  4. Step 4: Simplify right side
    8,382,751,989.75x = 289,402,253,897,161,506,816
  5. Step 5: Solve for x
    x = 289,402,253,897,161,506,816/8,382,751,989.75
  6. Step 6: Final answer
    x = 34,523,537,646.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.