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Finding the Third Proportional to 2,803,141.69 and 5,994,969.47

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Solution

The third proportional to 2,803,141.69 and 5,994,969.47 is: 12,821,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803,141.69 : 5,994,969.47 = 5,994,969.47 : x
  2. Step 2: Convert to fraction form
    2,803,141.69/5,994,969.47 = 5,994,969.47/x
  3. Step 3: Cross multiply
    2,803,141.69x = 5,994,969.47 × 5,994,969.47
  4. Step 4: Simplify right side
    2,803,141.69x = 35,939,658,931,244.66
  5. Step 5: Solve for x
    x = 35,939,658,931,244.66/2,803,141.69
  6. Step 6: Final answer
    x = 12,821,206.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.