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Finding the Third Proportional to 56,420,940 and 77,960,922

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Solution

The third proportional to 56,420,940 and 77,960,922 is: 107,724,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,420,940 : 77,960,922 = 77,960,922 : x
  2. Step 2: Convert to fraction form
    56,420,940/77,960,922 = 77,960,922/x
  3. Step 3: Cross multiply
    56,420,940x = 77,960,922 × 77,960,922
  4. Step 4: Simplify right side
    56,420,940x = 6,077,905,359,090,084
  5. Step 5: Solve for x
    x = 6,077,905,359,090,084/56,420,940
  6. Step 6: Final answer
    x = 107,724,283.91

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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.