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Finding the Third Proportional to 6,725,511 and 9,437,223.75

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Solution

The third proportional to 6,725,511 and 9,437,223.75 is: 13,242,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725,511 : 9,437,223.75 = 9,437,223.75 : x
  2. Step 2: Convert to fraction form
    6,725,511/9,437,223.75 = 9,437,223.75/x
  3. Step 3: Cross multiply
    6,725,511x = 9,437,223.75 × 9,437,223.75
  4. Step 4: Simplify right side
    6,725,511x = 89,061,192,107,564.06
  5. Step 5: Solve for x
    x = 89,061,192,107,564.06/6,725,511
  6. Step 6: Final answer
    x = 13,242,293.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.