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Finding the Third Proportional to 9,476,437.50 and 13,542,048

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Solution

The third proportional to 9,476,437.50 and 13,542,048 is: 19,351,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,437.50 : 13,542,048 = 13,542,048 : x
  2. Step 2: Convert to fraction form
    9,476,437.50/13,542,048 = 13,542,048/x
  3. Step 3: Cross multiply
    9,476,437.50x = 13,542,048 × 13,542,048
  4. Step 4: Simplify right side
    9,476,437.50x = 183,387,064,034,304
  5. Step 5: Solve for x
    x = 183,387,064,034,304/9,476,437.50
  6. Step 6: Final answer
    x = 19,351,899.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.