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Finding the Third Proportional to 9,135,383,718 and 14,536,191,393

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Solution

The third proportional to 9,135,383,718 and 14,536,191,393 is: 23,129,938,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135,383,718 : 14,536,191,393 = 14,536,191,393 : x
  2. Step 2: Convert to fraction form
    9,135,383,718/14,536,191,393 = 14,536,191,393/x
  3. Step 3: Cross multiply
    9,135,383,718x = 14,536,191,393 × 14,536,191,393
  4. Step 4: Simplify right side
    9,135,383,718x = 211,300,860,213,927,280,640
  5. Step 5: Solve for x
    x = 211,300,860,213,927,280,640/9,135,383,718
  6. Step 6: Final answer
    x = 23,129,938,132.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.