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Finding the Third Proportional to 51,716,159 and 77,125,764.50

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Solution

The third proportional to 51,716,159 and 77,125,764.50 is: 115,019,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,716,159 : 77,125,764.50 = 77,125,764.50 : x
  2. Step 2: Convert to fraction form
    51,716,159/77,125,764.50 = 77,125,764.50/x
  3. Step 3: Cross multiply
    51,716,159x = 77,125,764.50 × 77,125,764.50
  4. Step 4: Simplify right side
    51,716,159x = 5,948,383,549,709,460
  5. Step 5: Solve for x
    x = 5,948,383,549,709,460/51,716,159
  6. Step 6: Final answer
    x = 115,019,824.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.