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Finding the Third Proportional to 51,820,434.50 and 77,445,051.75

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Solution

The third proportional to 51,820,434.50 and 77,445,051.75 is: 115,740,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820,434.50 : 77,445,051.75 = 77,445,051.75 : x
  2. Step 2: Convert to fraction form
    51,820,434.50/77,445,051.75 = 77,445,051.75/x
  3. Step 3: Cross multiply
    51,820,434.50x = 77,445,051.75 × 77,445,051.75
  4. Step 4: Simplify right side
    51,820,434.50x = 5,997,736,040,560,178
  5. Step 5: Solve for x
    x = 5,997,736,040,560,178/51,820,434.50
  6. Step 6: Final answer
    x = 115,740,751.66

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