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Finding the Third Proportional to 493,942,254.75 and 975,392,358.75

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Solution

The third proportional to 493,942,254.75 and 975,392,358.75 is: 1,926,116,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,942,254.75 : 975,392,358.75 = 975,392,358.75 : x
  2. Step 2: Convert to fraction form
    493,942,254.75/975,392,358.75 = 975,392,358.75/x
  3. Step 3: Cross multiply
    493,942,254.75x = 975,392,358.75 × 975,392,358.75
  4. Step 4: Simplify right side
    493,942,254.75x = 951,390,253,507,888,640
  5. Step 5: Solve for x
    x = 951,390,253,507,888,640/493,942,254.75
  6. Step 6: Final answer
    x = 1,926,116,351.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.