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Finding the Third Proportional to 12,364,960 and 26,431,566

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Solution

The third proportional to 12,364,960 and 26,431,566 is: 56,500,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364,960 : 26,431,566 = 26,431,566 : x
  2. Step 2: Convert to fraction form
    12,364,960/26,431,566 = 26,431,566/x
  3. Step 3: Cross multiply
    12,364,960x = 26,431,566 × 26,431,566
  4. Step 4: Simplify right side
    12,364,960x = 698,627,681,212,356
  5. Step 5: Solve for x
    x = 698,627,681,212,356/12,364,960
  6. Step 6: Final answer
    x = 56,500,601.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.