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Finding the Third Proportional to 56,420,936 and 77,960,916

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Solution

The third proportional to 56,420,936 and 77,960,916 is: 107,724,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,420,936 : 77,960,916 = 77,960,916 : x
  2. Step 2: Convert to fraction form
    56,420,936/77,960,916 = 77,960,916/x
  3. Step 3: Cross multiply
    56,420,936x = 77,960,916 × 77,960,916
  4. Step 4: Simplify right side
    56,420,936x = 6,077,904,423,559,056
  5. Step 5: Solve for x
    x = 6,077,904,423,559,056/56,420,936
  6. Step 6: Final answer
    x = 107,724,274.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.