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Finding the Third Proportional to 12,321,218 and 19,153,776

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Solution

The third proportional to 12,321,218 and 19,153,776 is: 29,775,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321,218 : 19,153,776 = 19,153,776 : x
  2. Step 2: Convert to fraction form
    12,321,218/19,153,776 = 19,153,776/x
  3. Step 3: Cross multiply
    12,321,218x = 19,153,776 × 19,153,776
  4. Step 4: Simplify right side
    12,321,218x = 366,867,135,058,176
  5. Step 5: Solve for x
    x = 366,867,135,058,176/12,321,218
  6. Step 6: Final answer
    x = 29,775,232.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.