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Finding the Third Proportional to 9,753,679 and 21,224,400

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Solution

The third proportional to 9,753,679 and 21,224,400 is: 46,185,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753,679 : 21,224,400 = 21,224,400 : x
  2. Step 2: Convert to fraction form
    9,753,679/21,224,400 = 21,224,400/x
  3. Step 3: Cross multiply
    9,753,679x = 21,224,400 × 21,224,400
  4. Step 4: Simplify right side
    9,753,679x = 450,475,155,360,000
  5. Step 5: Solve for x
    x = 450,475,155,360,000/9,753,679
  6. Step 6: Final answer
    x = 46,185,152.84

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Why These Related Problems?

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