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Finding the Third Proportional to 4,736,751.86 and 10,277,479.65

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Solution

The third proportional to 4,736,751.86 and 10,277,479.65 is: 22,299,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736,751.86 : 10,277,479.65 = 10,277,479.65 : x
  2. Step 2: Convert to fraction form
    4,736,751.86/10,277,479.65 = 10,277,479.65/x
  3. Step 3: Cross multiply
    4,736,751.86x = 10,277,479.65 × 10,277,479.65
  4. Step 4: Simplify right side
    4,736,751.86x = 105,626,588,004,344.94
  5. Step 5: Solve for x
    x = 105,626,588,004,344.94/4,736,751.86
  6. Step 6: Final answer
    x = 22,299,371.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.