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Finding the Third Proportional to 1,819,092,176 and 4,000,898,208

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Solution

The third proportional to 1,819,092,176 and 4,000,898,208 is: 8,799,546,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819,092,176 : 4,000,898,208 = 4,000,898,208 : x
  2. Step 2: Convert to fraction form
    1,819,092,176/4,000,898,208 = 4,000,898,208/x
  3. Step 3: Cross multiply
    1,819,092,176x = 4,000,898,208 × 4,000,898,208
  4. Step 4: Simplify right side
    1,819,092,176x = 16,007,186,470,777,610,240
  5. Step 5: Solve for x
    x = 16,007,186,470,777,610,240/1,819,092,176
  6. Step 6: Final answer
    x = 8,799,546,654.08

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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.