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Finding the Third Proportional to 6,233,427,282 and 13,713,524,842

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Solution

The third proportional to 6,233,427,282 and 13,713,524,842 is: 30,169,721,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233,427,282 : 13,713,524,842 = 13,713,524,842 : x
  2. Step 2: Convert to fraction form
    6,233,427,282/13,713,524,842 = 13,713,524,842/x
  3. Step 3: Cross multiply
    6,233,427,282x = 13,713,524,842 × 13,713,524,842
  4. Step 4: Simplify right side
    6,233,427,282x = 188,060,763,592,151,138,304
  5. Step 5: Solve for x
    x = 188,060,763,592,151,138,304/6,233,427,282
  6. Step 6: Final answer
    x = 30,169,721,259.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.