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Finding the Third Proportional to 13,266,864 and 27,871,200

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Solution

The third proportional to 13,266,864 and 27,871,200 is: 58,552,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266,864 : 27,871,200 = 27,871,200 : x
  2. Step 2: Convert to fraction form
    13,266,864/27,871,200 = 27,871,200/x
  3. Step 3: Cross multiply
    13,266,864x = 27,871,200 × 27,871,200
  4. Step 4: Simplify right side
    13,266,864x = 776,803,789,440,000
  5. Step 5: Solve for x
    x = 776,803,789,440,000/13,266,864
  6. Step 6: Final answer
    x = 58,552,178.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.