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Finding the Third Proportional to 493,672,536 and 1,028,206,057.13

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Solution

The third proportional to 493,672,536 and 1,028,206,057.13 is: 2,141,516,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,672,536 : 1,028,206,057.13 = 1,028,206,057.13 : x
  2. Step 2: Convert to fraction form
    493,672,536/1,028,206,057.13 = 1,028,206,057.13/x
  3. Step 3: Cross multiply
    493,672,536x = 1,028,206,057.13 × 1,028,206,057.13
  4. Step 4: Simplify right side
    493,672,536x = 1,057,207,695,908,538,752
  5. Step 5: Solve for x
    x = 1,057,207,695,908,538,752/493,672,536
  6. Step 6: Final answer
    x = 2,141,516,124.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.