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Finding the Third Proportional to 4,676,471,289 and 10,176,189,894

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Solution

The third proportional to 4,676,471,289 and 10,176,189,894 is: 22,143,799,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,471,289 : 10,176,189,894 = 10,176,189,894 : x
  2. Step 2: Convert to fraction form
    4,676,471,289/10,176,189,894 = 10,176,189,894/x
  3. Step 3: Cross multiply
    4,676,471,289x = 10,176,189,894 × 10,176,189,894
  4. Step 4: Simplify right side
    4,676,471,289x = 103,554,840,758,747,725,824
  5. Step 5: Solve for x
    x = 103,554,840,758,747,725,824/4,676,471,289
  6. Step 6: Final answer
    x = 22,143,799,108.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.