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Finding the Third Proportional to 30,469,802.06 and 65,909,424.94

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Solution

The third proportional to 30,469,802.06 and 65,909,424.94 is: 142,569,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469,802.06 : 65,909,424.94 = 65,909,424.94 : x
  2. Step 2: Convert to fraction form
    30,469,802.06/65,909,424.94 = 65,909,424.94/x
  3. Step 3: Cross multiply
    30,469,802.06x = 65,909,424.94 × 65,909,424.94
  4. Step 4: Simplify right side
    30,469,802.06x = 4,344,052,295,591,947
  5. Step 5: Solve for x
    x = 4,344,052,295,591,947/30,469,802.06
  6. Step 6: Final answer
    x = 142,569,101.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.