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Finding the Third Proportional to 66,025,441 and 144,805,472

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Solution

The third proportional to 66,025,441 and 144,805,472 is: 317,584,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025,441 : 144,805,472 = 144,805,472 : x
  2. Step 2: Convert to fraction form
    66,025,441/144,805,472 = 144,805,472/x
  3. Step 3: Cross multiply
    66,025,441x = 144,805,472 × 144,805,472
  4. Step 4: Simplify right side
    66,025,441x = 20,968,624,721,142,784
  5. Step 5: Solve for x
    x = 20,968,624,721,142,784/66,025,441
  6. Step 6: Final answer
    x = 317,584,016.15

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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.