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Finding the Third Proportional to 9,820,634 and 23,149,966.50

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Solution

The third proportional to 9,820,634 and 23,149,966.50 is: 54,570,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820,634 : 23,149,966.50 = 23,149,966.50 : x
  2. Step 2: Convert to fraction form
    9,820,634/23,149,966.50 = 23,149,966.50/x
  3. Step 3: Cross multiply
    9,820,634x = 23,149,966.50 × 23,149,966.50
  4. Step 4: Simplify right side
    9,820,634x = 535,920,948,951,122.25
  5. Step 5: Solve for x
    x = 535,920,948,951,122.25/9,820,634
  6. Step 6: Final answer
    x = 54,570,911.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.