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Finding the Third Proportional to 6,713,033.63 and 10,324,398.38

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Solution

The third proportional to 6,713,033.63 and 10,324,398.38 is: 15,878,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713,033.63 : 10,324,398.38 = 10,324,398.38 : x
  2. Step 2: Convert to fraction form
    6,713,033.63/10,324,398.38 = 10,324,398.38/x
  3. Step 3: Cross multiply
    6,713,033.63x = 10,324,398.38 × 10,324,398.38
  4. Step 4: Simplify right side
    6,713,033.63x = 106,593,201,805,702.64
  5. Step 5: Solve for x
    x = 106,593,201,805,702.64/6,713,033.63
  6. Step 6: Final answer
    x = 15,878,544.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.