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Finding the Third Proportional to 8,437,728 and 17,473,584

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Solution

The third proportional to 8,437,728 and 17,473,584 is: 36,185,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437,728 : 17,473,584 = 17,473,584 : x
  2. Step 2: Convert to fraction form
    8,437,728/17,473,584 = 17,473,584/x
  3. Step 3: Cross multiply
    8,437,728x = 17,473,584 × 17,473,584
  4. Step 4: Simplify right side
    8,437,728x = 305,326,137,805,056
  5. Step 5: Solve for x
    x = 305,326,137,805,056/8,437,728
  6. Step 6: Final answer
    x = 36,185,823.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.