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Finding the Third Proportional to 493,672,547 and 1,028,206,078

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Solution

The third proportional to 493,672,547 and 1,028,206,078 is: 2,141,516,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,672,547 : 1,028,206,078 = 1,028,206,078 : x
  2. Step 2: Convert to fraction form
    493,672,547/1,028,206,078 = 1,028,206,078/x
  3. Step 3: Cross multiply
    493,672,547x = 1,028,206,078 × 1,028,206,078
  4. Step 4: Simplify right side
    493,672,547x = 1,057,207,738,836,142,080
  5. Step 5: Solve for x
    x = 1,057,207,738,836,142,080/493,672,547
  6. Step 6: Final answer
    x = 2,141,516,163.42

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