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Finding the Third Proportional to 30,561,976 and 46,236,672

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Solution

The third proportional to 30,561,976 and 46,236,672 is: 69,950,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,561,976 : 46,236,672 = 46,236,672 : x
  2. Step 2: Convert to fraction form
    30,561,976/46,236,672 = 46,236,672/x
  3. Step 3: Cross multiply
    30,561,976x = 46,236,672 × 46,236,672
  4. Step 4: Simplify right side
    30,561,976x = 2,137,829,837,635,584
  5. Step 5: Solve for x
    x = 2,137,829,837,635,584/30,561,976
  6. Step 6: Final answer
    x = 69,950,641.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.