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Finding the Third Proportional to 33,012,706.25 and 72,402,697.75

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Solution

The third proportional to 33,012,706.25 and 72,402,697.75 is: 158,791,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012,706.25 : 72,402,697.75 = 72,402,697.75 : x
  2. Step 2: Convert to fraction form
    33,012,706.25/72,402,697.75 = 72,402,697.75/x
  3. Step 3: Cross multiply
    33,012,706.25x = 72,402,697.75 × 72,402,697.75
  4. Step 4: Simplify right side
    33,012,706.25x = 5,242,150,641,477,855
  5. Step 5: Solve for x
    x = 5,242,150,641,477,855/33,012,706.25
  6. Step 6: Final answer
    x = 158,791,908.84

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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.