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Finding the Third Proportional to 2,770,423,404 and 6,094,921,800

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Solution

The third proportional to 2,770,423,404 and 6,094,921,800 is: 13,408,806,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770,423,404 : 6,094,921,800 = 6,094,921,800 : x
  2. Step 2: Convert to fraction form
    2,770,423,404/6,094,921,800 = 6,094,921,800/x
  3. Step 3: Cross multiply
    2,770,423,404x = 6,094,921,800 × 6,094,921,800
  4. Step 4: Simplify right side
    2,770,423,404x = 37,148,071,748,115,243,008
  5. Step 5: Solve for x
    x = 37,148,071,748,115,243,008/2,770,423,404
  6. Step 6: Final answer
    x = 13,408,806,644.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.