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Finding the Third Proportional to 4,471,720 and 9,651,664

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Solution

The third proportional to 4,471,720 and 9,651,664 is: 20,831,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471,720 : 9,651,664 = 9,651,664 : x
  2. Step 2: Convert to fraction form
    4,471,720/9,651,664 = 9,651,664/x
  3. Step 3: Cross multiply
    4,471,720x = 9,651,664 × 9,651,664
  4. Step 4: Simplify right side
    4,471,720x = 93,154,617,968,896
  5. Step 5: Solve for x
    x = 93,154,617,968,896/4,471,720
  6. Step 6: Final answer
    x = 20,831,943.41

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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.