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Finding the Third Proportional to 12,142,143 and 25,857,360

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Solution

The third proportional to 12,142,143 and 25,857,360 is: 55,064,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,143 : 25,857,360 = 25,857,360 : x
  2. Step 2: Convert to fraction form
    12,142,143/25,857,360 = 25,857,360/x
  3. Step 3: Cross multiply
    12,142,143x = 25,857,360 × 25,857,360
  4. Step 4: Simplify right side
    12,142,143x = 668,603,066,169,600
  5. Step 5: Solve for x
    x = 668,603,066,169,600/12,142,143
  6. Step 6: Final answer
    x = 55,064,667.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.