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Finding the Third Proportional to 6,032,913 and 7,746,105

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Solution

The third proportional to 6,032,913 and 7,746,105 is: 9,945,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032,913 : 7,746,105 = 7,746,105 : x
  2. Step 2: Convert to fraction form
    6,032,913/7,746,105 = 7,746,105/x
  3. Step 3: Cross multiply
    6,032,913x = 7,746,105 × 7,746,105
  4. Step 4: Simplify right side
    6,032,913x = 60,002,142,671,025
  5. Step 5: Solve for x
    x = 60,002,142,671,025/6,032,913
  6. Step 6: Final answer
    x = 9,945,799.43

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.