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Finding the Third Proportional to 4,871,760.35 and 6,811,048.42

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Solution

The third proportional to 4,871,760.35 and 6,811,048.42 is: 9,522,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871,760.35 : 6,811,048.42 = 6,811,048.42 : x
  2. Step 2: Convert to fraction form
    4,871,760.35/6,811,048.42 = 6,811,048.42/x
  3. Step 3: Cross multiply
    4,871,760.35x = 6,811,048.42 × 6,811,048.42
  4. Step 4: Simplify right side
    4,871,760.35x = 46,390,380,631,728.52
  5. Step 5: Solve for x
    x = 46,390,380,631,728.52/4,871,760.35
  6. Step 6: Final answer
    x = 9,522,303.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.