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Finding the Third Proportional to 33,012,738 and 72,402,765

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Solution

The third proportional to 33,012,738 and 72,402,765 is: 158,792,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012,738 : 72,402,765 = 72,402,765 : x
  2. Step 2: Convert to fraction form
    33,012,738/72,402,765 = 72,402,765/x
  3. Step 3: Cross multiply
    33,012,738x = 72,402,765 × 72,402,765
  4. Step 4: Simplify right side
    33,012,738x = 5,242,160,379,645,225
  5. Step 5: Solve for x
    x = 5,242,160,379,645,225/33,012,738
  6. Step 6: Final answer
    x = 158,792,051.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.