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Finding the Third Proportional to 8,269,215,834 and 12,710,366,712

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Solution

The third proportional to 8,269,215,834 and 12,710,366,712 is: 19,536,728,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269,215,834 : 12,710,366,712 = 12,710,366,712 : x
  2. Step 2: Convert to fraction form
    8,269,215,834/12,710,366,712 = 12,710,366,712/x
  3. Step 3: Cross multiply
    8,269,215,834x = 12,710,366,712 × 12,710,366,712
  4. Step 4: Simplify right side
    8,269,215,834x = 161,553,421,953,517,682,688
  5. Step 5: Solve for x
    x = 161,553,421,953,517,682,688/8,269,215,834
  6. Step 6: Final answer
    x = 19,536,728,173.10

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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.