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Finding the Third Proportional to 8,972,864,228.25 and 19,634,372,406

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Solution

The third proportional to 8,972,864,228.25 and 19,634,372,406 is: 42,963,826,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,864,228.25 : 19,634,372,406 = 19,634,372,406 : x
  2. Step 2: Convert to fraction form
    8,972,864,228.25/19,634,372,406 = 19,634,372,406/x
  3. Step 3: Cross multiply
    8,972,864,228.25x = 19,634,372,406 × 19,634,372,406
  4. Step 4: Simplify right side
    8,972,864,228.25x = 385,508,579,777,494,253,568
  5. Step 5: Solve for x
    x = 385,508,579,777,494,253,568/8,972,864,228.25
  6. Step 6: Final answer
    x = 42,963,826,262.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.