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Finding the Third Proportional to 8,285,763,456 and 17,746,838,208

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Solution

The third proportional to 8,285,763,456 and 17,746,838,208 is: 38,011,013,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285,763,456 : 17,746,838,208 = 17,746,838,208 : x
  2. Step 2: Convert to fraction form
    8,285,763,456/17,746,838,208 = 17,746,838,208/x
  3. Step 3: Cross multiply
    8,285,763,456x = 17,746,838,208 × 17,746,838,208
  4. Step 4: Simplify right side
    8,285,763,456x = 314,950,266,380,928,679,936
  5. Step 5: Solve for x
    x = 314,950,266,380,928,679,936/8,285,763,456
  6. Step 6: Final answer
    x = 38,011,013,475.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.