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Finding the Third Proportional to 30,321,414 and 65,955,449.25

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Solution

The third proportional to 30,321,414 and 65,955,449.25 is: 143,466,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321,414 : 65,955,449.25 = 65,955,449.25 : x
  2. Step 2: Convert to fraction form
    30,321,414/65,955,449.25 = 65,955,449.25/x
  3. Step 3: Cross multiply
    30,321,414x = 65,955,449.25 × 65,955,449.25
  4. Step 4: Simplify right side
    30,321,414x = 4,350,121,285,769,325.50
  5. Step 5: Solve for x
    x = 4,350,121,285,769,325.50/30,321,414
  6. Step 6: Final answer
    x = 143,466,966.47

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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.