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Finding the Third Proportional to 9,135,383,712 and 14,536,191,384

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Solution

The third proportional to 9,135,383,712 and 14,536,191,384 is: 23,129,938,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135,383,712 : 14,536,191,384 = 14,536,191,384 : x
  2. Step 2: Convert to fraction form
    9,135,383,712/14,536,191,384 = 14,536,191,384/x
  3. Step 3: Cross multiply
    9,135,383,712x = 14,536,191,384 × 14,536,191,384
  4. Step 4: Simplify right side
    9,135,383,712x = 211,300,859,952,275,849,216
  5. Step 5: Solve for x
    x = 211,300,859,952,275,849,216/9,135,383,712
  6. Step 6: Final answer
    x = 23,129,938,119.04

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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.