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Finding the Third Proportional to 9,762,569 and 20,333,180

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Solution

The third proportional to 9,762,569 and 20,333,180 is: 42,349,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762,569 : 20,333,180 = 20,333,180 : x
  2. Step 2: Convert to fraction form
    9,762,569/20,333,180 = 20,333,180/x
  3. Step 3: Cross multiply
    9,762,569x = 20,333,180 × 20,333,180
  4. Step 4: Simplify right side
    9,762,569x = 413,438,208,912,400
  5. Step 5: Solve for x
    x = 413,438,208,912,400/9,762,569
  6. Step 6: Final answer
    x = 42,349,325.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.