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Finding the Third Proportional to 8,269,215,816 and 12,710,366,685

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Solution

The third proportional to 8,269,215,816 and 12,710,366,685 is: 19,536,728,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269,215,816 : 12,710,366,685 = 12,710,366,685 : x
  2. Step 2: Convert to fraction form
    8,269,215,816/12,710,366,685 = 12,710,366,685/x
  3. Step 3: Cross multiply
    8,269,215,816x = 12,710,366,685 × 12,710,366,685
  4. Step 4: Simplify right side
    8,269,215,816x = 161,553,421,267,157,876,736
  5. Step 5: Solve for x
    x = 161,553,421,267,157,876,736/8,269,215,816
  6. Step 6: Final answer
    x = 19,536,728,132.62

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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.