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Finding the Third Proportional to 4,407,701.06 and 6,678,213.33

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Solution

The third proportional to 4,407,701.06 and 6,678,213.33 is: 10,118,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,701.06 : 6,678,213.33 = 6,678,213.33 : x
  2. Step 2: Convert to fraction form
    4,407,701.06/6,678,213.33 = 6,678,213.33/x
  3. Step 3: Cross multiply
    4,407,701.06x = 6,678,213.33 × 6,678,213.33
  4. Step 4: Simplify right side
    4,407,701.06x = 44,598,533,255,946.39
  5. Step 5: Solve for x
    x = 44,598,533,255,946.39/4,407,701.06
  6. Step 6: Final answer
    x = 10,118,320.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.