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Finding the Third Proportional to 33,065,616 and 70,064,736

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Solution

The third proportional to 33,065,616 and 70,064,736 is: 148,464,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065,616 : 70,064,736 = 70,064,736 : x
  2. Step 2: Convert to fraction form
    33,065,616/70,064,736 = 70,064,736/x
  3. Step 3: Cross multiply
    33,065,616x = 70,064,736 × 70,064,736
  4. Step 4: Simplify right side
    33,065,616x = 4,909,067,230,749,696
  5. Step 5: Solve for x
    x = 4,909,067,230,749,696/33,065,616
  6. Step 6: Final answer
    x = 148,464,411.82

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.