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Finding the Third Proportional to 6,461,186 and 10,003,323

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Solution

The third proportional to 6,461,186 and 10,003,323 is: 15,487,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,186 : 10,003,323 = 10,003,323 : x
  2. Step 2: Convert to fraction form
    6,461,186/10,003,323 = 10,003,323/x
  3. Step 3: Cross multiply
    6,461,186x = 10,003,323 × 10,003,323
  4. Step 4: Simplify right side
    6,461,186x = 100,066,471,042,329
  5. Step 5: Solve for x
    x = 100,066,471,042,329/6,461,186
  6. Step 6: Final answer
    x = 15,487,322.46

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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.