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Finding the Third Proportional to 65,643,048 and 142,845,120

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Solution

The third proportional to 65,643,048 and 142,845,120 is: 310,843,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643,048 : 142,845,120 = 142,845,120 : x
  2. Step 2: Convert to fraction form
    65,643,048/142,845,120 = 142,845,120/x
  3. Step 3: Cross multiply
    65,643,048x = 142,845,120 × 142,845,120
  4. Step 4: Simplify right side
    65,643,048x = 20,404,728,307,814,400
  5. Step 5: Solve for x
    x = 20,404,728,307,814,400/65,643,048
  6. Step 6: Final answer
    x = 310,843,705.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.