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Finding the Third Proportional to 2,369,149.69 and 5,116,574.34

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Solution

The third proportional to 2,369,149.69 and 5,116,574.34 is: 11,050,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,149.69 : 5,116,574.34 = 5,116,574.34 : x
  2. Step 2: Convert to fraction form
    2,369,149.69/5,116,574.34 = 5,116,574.34/x
  3. Step 3: Cross multiply
    2,369,149.69x = 5,116,574.34 × 5,116,574.34
  4. Step 4: Simplify right side
    2,369,149.69x = 26,179,333,015,120.74
  5. Step 5: Solve for x
    x = 26,179,333,015,120.74/2,369,149.69
  6. Step 6: Final answer
    x = 11,050,096.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.