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Finding the Third Proportional to 51,118,812 and 77,210,442

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Solution

The third proportional to 51,118,812 and 77,210,442 is: 116,619,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,118,812 : 77,210,442 = 77,210,442 : x
  2. Step 2: Convert to fraction form
    51,118,812/77,210,442 = 77,210,442/x
  3. Step 3: Cross multiply
    51,118,812x = 77,210,442 × 77,210,442
  4. Step 4: Simplify right side
    51,118,812x = 5,961,452,353,835,364
  5. Step 5: Solve for x
    x = 5,961,452,353,835,364/51,118,812
  6. Step 6: Final answer
    x = 116,619,540.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.