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Finding the Third Proportional to 7,805,901.75 and 11,442,578.25

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Solution

The third proportional to 7,805,901.75 and 11,442,578.25 is: 16,773,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805,901.75 : 11,442,578.25 = 11,442,578.25 : x
  2. Step 2: Convert to fraction form
    7,805,901.75/11,442,578.25 = 11,442,578.25/x
  3. Step 3: Cross multiply
    7,805,901.75x = 11,442,578.25 × 11,442,578.25
  4. Step 4: Simplify right side
    7,805,901.75x = 130,932,597,007,373.06
  5. Step 5: Solve for x
    x = 130,932,597,007,373.06/7,805,901.75
  6. Step 6: Final answer
    x = 16,773,538.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.