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Finding the Third Proportional to 9,809,573 and 22,912,297

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Solution

The third proportional to 9,809,573 and 22,912,297 is: 53,516,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809,573 : 22,912,297 = 22,912,297 : x
  2. Step 2: Convert to fraction form
    9,809,573/22,912,297 = 22,912,297/x
  3. Step 3: Cross multiply
    9,809,573x = 22,912,297 × 22,912,297
  4. Step 4: Simplify right side
    9,809,573x = 524,973,353,816,209
  5. Step 5: Solve for x
    x = 524,973,353,816,209/9,809,573
  6. Step 6: Final answer
    x = 53,516,432.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.