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Finding the Third Proportional to 6,461,286 and 10,003,494

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Solution

The third proportional to 6,461,286 and 10,003,494 is: 15,487,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,286 : 10,003,494 = 10,003,494 : x
  2. Step 2: Convert to fraction form
    6,461,286/10,003,494 = 10,003,494/x
  3. Step 3: Cross multiply
    6,461,286x = 10,003,494 × 10,003,494
  4. Step 4: Simplify right side
    6,461,286x = 100,069,892,208,036
  5. Step 5: Solve for x
    x = 100,069,892,208,036/6,461,286
  6. Step 6: Final answer
    x = 15,487,612.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.