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Finding the Third Proportional to 8,207,724,665 and 16,643,838,856

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Solution

The third proportional to 8,207,724,665 and 16,643,838,856 is: 33,750,811,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207,724,665 : 16,643,838,856 = 16,643,838,856 : x
  2. Step 2: Convert to fraction form
    8,207,724,665/16,643,838,856 = 16,643,838,856/x
  3. Step 3: Cross multiply
    8,207,724,665x = 16,643,838,856 × 16,643,838,856
  4. Step 4: Simplify right side
    8,207,724,665x = 277,017,371,864,495,390,720
  5. Step 5: Solve for x
    x = 277,017,371,864,495,390,720/8,207,724,665
  6. Step 6: Final answer
    x = 33,750,811,969.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.