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Finding the Third Proportional to 8,269,215,842 and 12,710,366,724

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Solution

The third proportional to 8,269,215,842 and 12,710,366,724 is: 19,536,728,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269,215,842 : 12,710,366,724 = 12,710,366,724 : x
  2. Step 2: Convert to fraction form
    8,269,215,842/12,710,366,724 = 12,710,366,724/x
  3. Step 3: Cross multiply
    8,269,215,842x = 12,710,366,724 × 12,710,366,724
  4. Step 4: Simplify right side
    8,269,215,842x = 161,553,422,258,566,496,256
  5. Step 5: Solve for x
    x = 161,553,422,258,566,496,256/8,269,215,842
  6. Step 6: Final answer
    x = 19,536,728,191.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.