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Finding the Third Proportional to 8,269,215,808 and 12,710,366,673

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Solution

The third proportional to 8,269,215,808 and 12,710,366,673 is: 19,536,728,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269,215,808 : 12,710,366,673 = 12,710,366,673 : x
  2. Step 2: Convert to fraction form
    8,269,215,808/12,710,366,673 = 12,710,366,673/x
  3. Step 3: Cross multiply
    8,269,215,808x = 12,710,366,673 × 12,710,366,673
  4. Step 4: Simplify right side
    8,269,215,808x = 161,553,420,962,109,095,936
  5. Step 5: Solve for x
    x = 161,553,420,962,109,095,936/8,269,215,808
  6. Step 6: Final answer
    x = 19,536,728,114.63

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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.