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Finding the Third Proportional to 6,725,441 and 10,706,693

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Solution

The third proportional to 6,725,441 and 10,706,693 is: 17,044,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725,441 : 10,706,693 = 10,706,693 : x
  2. Step 2: Convert to fraction form
    6,725,441/10,706,693 = 10,706,693/x
  3. Step 3: Cross multiply
    6,725,441x = 10,706,693 × 10,706,693
  4. Step 4: Simplify right side
    6,725,441x = 114,633,274,996,249
  5. Step 5: Solve for x
    x = 114,633,274,996,249/6,725,441
  6. Step 6: Final answer
    x = 17,044,722.42

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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.