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Finding the Third Proportional to 33,012,723 and 72,402,740

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Solution

The third proportional to 33,012,723 and 72,402,740 is: 158,792,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012,723 : 72,402,740 = 72,402,740 : x
  2. Step 2: Convert to fraction form
    33,012,723/72,402,740 = 72,402,740/x
  3. Step 3: Cross multiply
    33,012,723x = 72,402,740 × 72,402,740
  4. Step 4: Simplify right side
    33,012,723x = 5,242,156,759,507,600
  5. Step 5: Solve for x
    x = 5,242,156,759,507,600/33,012,723
  6. Step 6: Final answer
    x = 158,792,013.60

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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.