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Finding the Third Proportional to 51,800,913 and 74,837,317.50

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Solution

The third proportional to 51,800,913 and 74,837,317.50 is: 108,118,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,800,913 : 74,837,317.50 = 74,837,317.50 : x
  2. Step 2: Convert to fraction form
    51,800,913/74,837,317.50 = 74,837,317.50/x
  3. Step 3: Cross multiply
    51,800,913x = 74,837,317.50 × 74,837,317.50
  4. Step 4: Simplify right side
    51,800,913x = 5,600,624,090,595,806
  5. Step 5: Solve for x
    x = 5,600,624,090,595,806/51,800,913
  6. Step 6: Final answer
    x = 108,118,250.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.