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Finding the Third Proportional to 33,180,899 and 69,010,498

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Solution

The third proportional to 33,180,899 and 69,010,498 is: 143,529,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180,899 : 69,010,498 = 69,010,498 : x
  2. Step 2: Convert to fraction form
    33,180,899/69,010,498 = 69,010,498/x
  3. Step 3: Cross multiply
    33,180,899x = 69,010,498 × 69,010,498
  4. Step 4: Simplify right side
    33,180,899x = 4,762,448,834,208,004
  5. Step 5: Solve for x
    x = 4,762,448,834,208,004/33,180,899
  6. Step 6: Final answer
    x = 143,529,831.25

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.