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Finding the Third Proportional to 4,407,733.13 and 6,678,261

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Solution

The third proportional to 4,407,733.13 and 6,678,261 is: 10,118,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,733.13 : 6,678,261 = 6,678,261 : x
  2. Step 2: Convert to fraction form
    4,407,733.13/6,678,261 = 6,678,261/x
  3. Step 3: Cross multiply
    4,407,733.13x = 6,678,261 × 6,678,261
  4. Step 4: Simplify right side
    4,407,733.13x = 44,599,169,984,121
  5. Step 5: Solve for x
    x = 44,599,169,984,121/4,407,733.13
  6. Step 6: Final answer
    x = 10,118,391.64

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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.