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Finding the Third Proportional to 9,781,777 and 23,016,108.50

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Solution

The third proportional to 9,781,777 and 23,016,108.50 is: 54,155,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781,777 : 23,016,108.50 = 23,016,108.50 : x
  2. Step 2: Convert to fraction form
    9,781,777/23,016,108.50 = 23,016,108.50/x
  3. Step 3: Cross multiply
    9,781,777x = 23,016,108.50 × 23,016,108.50
  4. Step 4: Simplify right side
    9,781,777x = 529,741,250,483,772.25
  5. Step 5: Solve for x
    x = 529,741,250,483,772.25/9,781,777
  6. Step 6: Final answer
    x = 54,155,932.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.