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Finding the Third Proportional to 8,463,555 and 19,975,963.50

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Solution

The third proportional to 8,463,555 and 19,975,963.50 is: 47,147,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463,555 : 19,975,963.50 = 19,975,963.50 : x
  2. Step 2: Convert to fraction form
    8,463,555/19,975,963.50 = 19,975,963.50/x
  3. Step 3: Cross multiply
    8,463,555x = 19,975,963.50 × 19,975,963.50
  4. Step 4: Simplify right side
    8,463,555x = 399,039,117,753,332.25
  5. Step 5: Solve for x
    x = 399,039,117,753,332.25/8,463,555
  6. Step 6: Final answer
    x = 47,147,932.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.