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Finding the Third Proportional to 4,871,762 and 6,811,051

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Solution

The third proportional to 4,871,762 and 6,811,051 is: 9,522,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871,762 : 6,811,051 = 6,811,051 : x
  2. Step 2: Convert to fraction form
    4,871,762/6,811,051 = 6,811,051/x
  3. Step 3: Cross multiply
    4,871,762x = 6,811,051 × 6,811,051
  4. Step 4: Simplify right side
    4,871,762x = 46,390,415,724,601
  5. Step 5: Solve for x
    x = 46,390,415,724,601/4,871,762
  6. Step 6: Final answer
    x = 9,522,307.48

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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.