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Finding the Third Proportional to 8,285,092,410 and 18,174,221,376

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Solution

The third proportional to 8,285,092,410 and 18,174,221,376 is: 39,867,065,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285,092,410 : 18,174,221,376 = 18,174,221,376 : x
  2. Step 2: Convert to fraction form
    8,285,092,410/18,174,221,376 = 18,174,221,376/x
  3. Step 3: Cross multiply
    8,285,092,410x = 18,174,221,376 × 18,174,221,376
  4. Step 4: Simplify right side
    8,285,092,410x = 330,302,322,623,855,329,280
  5. Step 5: Solve for x
    x = 330,302,322,623,855,329,280/8,285,092,410
  6. Step 6: Final answer
    x = 39,867,065,601.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.