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Finding the Third Proportional to 10,120,735 and 22,038,456

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Solution

The third proportional to 10,120,735 and 22,038,456 is: 47,989,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,735 : 22,038,456 = 22,038,456 : x
  2. Step 2: Convert to fraction form
    10,120,735/22,038,456 = 22,038,456/x
  3. Step 3: Cross multiply
    10,120,735x = 22,038,456 × 22,038,456
  4. Step 4: Simplify right side
    10,120,735x = 485,693,542,863,936
  5. Step 5: Solve for x
    x = 485,693,542,863,936/10,120,735
  6. Step 6: Final answer
    x = 47,989,947.65

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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.