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Finding the Third Proportional to 4,387,345 and 9,782,906

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Solution

The third proportional to 4,387,345 and 9,782,906 is: 21,813,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387,345 : 9,782,906 = 9,782,906 : x
  2. Step 2: Convert to fraction form
    4,387,345/9,782,906 = 9,782,906/x
  3. Step 3: Cross multiply
    4,387,345x = 9,782,906 × 9,782,906
  4. Step 4: Simplify right side
    4,387,345x = 95,705,249,804,836
  5. Step 5: Solve for x
    x = 95,705,249,804,836/4,387,345
  6. Step 6: Final answer
    x = 21,813,932.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.