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Finding the Third Proportional to 317,095,699 and 485,120,913

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Solution

The third proportional to 317,095,699 and 485,120,913 is: 742,180,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,095,699 : 485,120,913 = 485,120,913 : x
  2. Step 2: Convert to fraction form
    317,095,699/485,120,913 = 485,120,913/x
  3. Step 3: Cross multiply
    317,095,699x = 485,120,913 × 485,120,913
  4. Step 4: Simplify right side
    317,095,699x = 235,342,300,229,953,568
  5. Step 5: Solve for x
    x = 235,342,300,229,953,568/317,095,699
  6. Step 6: Final answer
    x = 742,180,675.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.