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Finding the Third Proportional to 7,466,065,228 and 15,997,062,703

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Solution

The third proportional to 7,466,065,228 and 15,997,062,703 is: 34,275,887,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466,065,228 : 15,997,062,703 = 15,997,062,703 : x
  2. Step 2: Convert to fraction form
    7,466,065,228/15,997,062,703 = 15,997,062,703/x
  3. Step 3: Cross multiply
    7,466,065,228x = 15,997,062,703 × 15,997,062,703
  4. Step 4: Simplify right side
    7,466,065,228x = 255,906,015,123,713,654,784
  5. Step 5: Solve for x
    x = 255,906,015,123,713,654,784/7,466,065,228
  6. Step 6: Final answer
    x = 34,275,887,942.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.