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Finding the Third Proportional to 4,871,178 and 10,460,603.25

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Solution

The third proportional to 4,871,178 and 10,460,603.25 is: 22,463,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871,178 : 10,460,603.25 = 10,460,603.25 : x
  2. Step 2: Convert to fraction form
    4,871,178/10,460,603.25 = 10,460,603.25/x
  3. Step 3: Cross multiply
    4,871,178x = 10,460,603.25 × 10,460,603.25
  4. Step 4: Simplify right side
    4,871,178x = 109,424,220,353,910.56
  5. Step 5: Solve for x
    x = 109,424,220,353,910.56/4,871,178
  6. Step 6: Final answer
    x = 22,463,605.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.