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Finding the Third Proportional to 4,544,970 and 9,728,361

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Solution

The third proportional to 4,544,970 and 9,728,361 is: 20,823,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544,970 : 9,728,361 = 9,728,361 : x
  2. Step 2: Convert to fraction form
    4,544,970/9,728,361 = 9,728,361/x
  3. Step 3: Cross multiply
    4,544,970x = 9,728,361 × 9,728,361
  4. Step 4: Simplify right side
    4,544,970x = 94,641,007,746,321
  5. Step 5: Solve for x
    x = 94,641,007,746,321/4,544,970
  6. Step 6: Final answer
    x = 20,823,241.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.