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Finding the Third Proportional to 3,116,143.41 and 4,786,777.69

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Solution

The third proportional to 3,116,143.41 and 4,786,777.69 is: 7,353,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,143.41 : 4,786,777.69 = 4,786,777.69 : x
  2. Step 2: Convert to fraction form
    3,116,143.41/4,786,777.69 = 4,786,777.69/x
  3. Step 3: Cross multiply
    3,116,143.41x = 4,786,777.69 × 4,786,777.69
  4. Step 4: Simplify right side
    3,116,143.41x = 22,913,240,629,547.85
  5. Step 5: Solve for x
    x = 22,913,240,629,547.85/3,116,143.41
  6. Step 6: Final answer
    x = 7,353,076.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.