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Finding the Third Proportional to 9,032,715 and 12,876,468.75

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Solution

The third proportional to 9,032,715 and 12,876,468.75 is: 18,355,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032,715 : 12,876,468.75 = 12,876,468.75 : x
  2. Step 2: Convert to fraction form
    9,032,715/12,876,468.75 = 12,876,468.75/x
  3. Step 3: Cross multiply
    9,032,715x = 12,876,468.75 × 12,876,468.75
  4. Step 4: Simplify right side
    9,032,715x = 165,803,447,469,726.56
  5. Step 5: Solve for x
    x = 165,803,447,469,726.56/9,032,715
  6. Step 6: Final answer
    x = 18,355,881.64

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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.