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Finding the Third Proportional to 4,732,854 and 10,366,215

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Solution

The third proportional to 4,732,854 and 10,366,215 is: 22,704,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,854 : 10,366,215 = 10,366,215 : x
  2. Step 2: Convert to fraction form
    4,732,854/10,366,215 = 10,366,215/x
  3. Step 3: Cross multiply
    4,732,854x = 10,366,215 × 10,366,215
  4. Step 4: Simplify right side
    4,732,854x = 107,458,413,426,225
  5. Step 5: Solve for x
    x = 107,458,413,426,225/4,732,854
  6. Step 6: Final answer
    x = 22,704,780.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.