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Finding the Third Proportional to 7,856,661,186 and 17,021,018,772

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Solution

The third proportional to 7,856,661,186 and 17,021,018,772 is: 36,875,088,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856,661,186 : 17,021,018,772 = 17,021,018,772 : x
  2. Step 2: Convert to fraction form
    7,856,661,186/17,021,018,772 = 17,021,018,772/x
  3. Step 3: Cross multiply
    7,856,661,186x = 17,021,018,772 × 17,021,018,772
  4. Step 4: Simplify right side
    7,856,661,186x = 289,715,080,036,776,378,368
  5. Step 5: Solve for x
    x = 289,715,080,036,776,378,368/7,856,661,186
  6. Step 6: Final answer
    x = 36,875,088,944.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.