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Finding the Third Proportional to 4,676,471,291 and 10,176,189,898

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Solution

The third proportional to 4,676,471,291 and 10,176,189,898 is: 22,143,799,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,471,291 : 10,176,189,898 = 10,176,189,898 : x
  2. Step 2: Convert to fraction form
    4,676,471,291/10,176,189,898 = 10,176,189,898/x
  3. Step 3: Cross multiply
    4,676,471,291x = 10,176,189,898 × 10,176,189,898
  4. Step 4: Simplify right side
    4,676,471,291x = 103,554,840,840,157,249,536
  5. Step 5: Solve for x
    x = 103,554,840,840,157,249,536/4,676,471,291
  6. Step 6: Final answer
    x = 22,143,799,116.11

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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.