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Finding the Third Proportional to 6,685,749 and 10,044,586.50

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Solution

The third proportional to 6,685,749 and 10,044,586.50 is: 15,090,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,749 : 10,044,586.50 = 10,044,586.50 : x
  2. Step 2: Convert to fraction form
    6,685,749/10,044,586.50 = 10,044,586.50/x
  3. Step 3: Cross multiply
    6,685,749x = 10,044,586.50 × 10,044,586.50
  4. Step 4: Simplify right side
    6,685,749x = 100,893,717,955,982.25
  5. Step 5: Solve for x
    x = 100,893,717,955,982.25/6,685,749
  6. Step 6: Final answer
    x = 15,090,862.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.