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Finding the Third Proportional to 30,777,726 and 48,029,908.50

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Solution

The third proportional to 30,777,726 and 48,029,908.50 is: 74,952,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777,726 : 48,029,908.50 = 48,029,908.50 : x
  2. Step 2: Convert to fraction form
    30,777,726/48,029,908.50 = 48,029,908.50/x
  3. Step 3: Cross multiply
    30,777,726x = 48,029,908.50 × 48,029,908.50
  4. Step 4: Simplify right side
    30,777,726x = 2,306,872,110,518,372
  5. Step 5: Solve for x
    x = 2,306,872,110,518,372/30,777,726
  6. Step 6: Final answer
    x = 74,952,649.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.