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Finding the Third Proportional to 2,947,483.69 and 6,444,838.41

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Solution

The third proportional to 2,947,483.69 and 6,444,838.41 is: 14,092,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,483.69 : 6,444,838.41 = 6,444,838.41 : x
  2. Step 2: Convert to fraction form
    2,947,483.69/6,444,838.41 = 6,444,838.41/x
  3. Step 3: Cross multiply
    2,947,483.69x = 6,444,838.41 × 6,444,838.41
  4. Step 4: Simplify right side
    2,947,483.69x = 41,535,942,082,675.04
  5. Step 5: Solve for x
    x = 41,535,942,082,675.04/2,947,483.69
  6. Step 6: Final answer
    x = 14,092,000.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.