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Finding the Third Proportional to 6,725,126 and 10,706,226

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Solution

The third proportional to 6,725,126 and 10,706,226 is: 17,044,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725,126 : 10,706,226 = 10,706,226 : x
  2. Step 2: Convert to fraction form
    6,725,126/10,706,226 = 10,706,226/x
  3. Step 3: Cross multiply
    6,725,126x = 10,706,226 × 10,706,226
  4. Step 4: Simplify right side
    6,725,126x = 114,623,275,163,076
  5. Step 5: Solve for x
    x = 114,623,275,163,076/6,725,126
  6. Step 6: Final answer
    x = 17,044,033.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.