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Finding the Third Proportional to 5,573,831.06 and 7,849,230.75

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Solution

The third proportional to 5,573,831.06 and 7,849,230.75 is: 11,053,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573,831.06 : 7,849,230.75 = 7,849,230.75 : x
  2. Step 2: Convert to fraction form
    5,573,831.06/7,849,230.75 = 7,849,230.75/x
  3. Step 3: Cross multiply
    5,573,831.06x = 7,849,230.75 × 7,849,230.75
  4. Step 4: Simplify right side
    5,573,831.06x = 61,610,423,366,745.56
  5. Step 5: Solve for x
    x = 61,610,423,366,745.56/5,573,831.06
  6. Step 6: Final answer
    x = 11,053,514.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.