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Finding the Third Proportional to 2,964,038 and 6,377,462

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Solution

The third proportional to 2,964,038 and 6,377,462 is: 13,721,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,038 : 6,377,462 = 6,377,462 : x
  2. Step 2: Convert to fraction form
    2,964,038/6,377,462 = 6,377,462/x
  3. Step 3: Cross multiply
    2,964,038x = 6,377,462 × 6,377,462
  4. Step 4: Simplify right side
    2,964,038x = 40,672,021,561,444
  5. Step 5: Solve for x
    x = 40,672,021,561,444/2,964,038
  6. Step 6: Final answer
    x = 13,721,828.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.