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Finding the Third Proportional to 47,392,563,704 and 98,707,782,042

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Solution

The third proportional to 47,392,563,704 and 98,707,782,042 is: 205,585,549,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,392,563,704 : 98,707,782,042 = 98,707,782,042 : x
  2. Step 2: Convert to fraction form
    47,392,563,704/98,707,782,042 = 98,707,782,042/x
  3. Step 3: Cross multiply
    47,392,563,704x = 98,707,782,042 × 98,707,782,042
  4. Step 4: Simplify right side
    47,392,563,704x = 9,743,226,235,650,977,038,336
  5. Step 5: Solve for x
    x = 9,743,226,235,650,977,038,336/47,392,563,704
  6. Step 6: Final answer
    x = 205,585,549,169.79

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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.