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Finding the Third Proportional to 8,004,087,031 and 17,386,048,853

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Solution

The third proportional to 8,004,087,031 and 17,386,048,853 is: 37,765,043,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004,087,031 : 17,386,048,853 = 17,386,048,853 : x
  2. Step 2: Convert to fraction form
    8,004,087,031/17,386,048,853 = 17,386,048,853/x
  3. Step 3: Cross multiply
    8,004,087,031x = 17,386,048,853 × 17,386,048,853
  4. Step 4: Simplify right side
    8,004,087,031x = 302,274,694,718,902,632,448
  5. Step 5: Solve for x
    x = 302,274,694,718,902,632,448/8,004,087,031
  6. Step 6: Final answer
    x = 37,765,043,476.94

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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.