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Finding the Third Proportional to 6,461,184 and 10,003,320

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Solution

The third proportional to 6,461,184 and 10,003,320 is: 15,487,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,184 : 10,003,320 = 10,003,320 : x
  2. Step 2: Convert to fraction form
    6,461,184/10,003,320 = 10,003,320/x
  3. Step 3: Cross multiply
    6,461,184x = 10,003,320 × 10,003,320
  4. Step 4: Simplify right side
    6,461,184x = 100,066,411,022,400
  5. Step 5: Solve for x
    x = 100,066,411,022,400/6,461,184
  6. Step 6: Final answer
    x = 15,487,317.96

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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.