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Finding the Third Proportional to 56,420,953 and 77,960,942

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Solution

The third proportional to 56,420,953 and 77,960,942 is: 107,724,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,420,953 : 77,960,942 = 77,960,942 : x
  2. Step 2: Convert to fraction form
    56,420,953/77,960,942 = 77,960,942/x
  3. Step 3: Cross multiply
    56,420,953x = 77,960,942 × 77,960,942
  4. Step 4: Simplify right side
    56,420,953x = 6,077,908,477,527,364
  5. Step 5: Solve for x
    x = 6,077,908,477,527,364/56,420,953
  6. Step 6: Final answer
    x = 107,724,314.36

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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.