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Finding the Third Proportional to 30,074,796 and 48,424,806

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Solution

The third proportional to 30,074,796 and 48,424,806 is: 77,970,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074,796 : 48,424,806 = 48,424,806 : x
  2. Step 2: Convert to fraction form
    30,074,796/48,424,806 = 48,424,806/x
  3. Step 3: Cross multiply
    30,074,796x = 48,424,806 × 48,424,806
  4. Step 4: Simplify right side
    30,074,796x = 2,344,961,836,137,636
  5. Step 5: Solve for x
    x = 2,344,961,836,137,636/30,074,796
  6. Step 6: Final answer
    x = 77,970,997.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.