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Finding the Third Proportional to 46,488,676 and 108,030,970

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Solution

The third proportional to 46,488,676 and 108,030,970 is: 251,043,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,488,676 : 108,030,970 = 108,030,970 : x
  2. Step 2: Convert to fraction form
    46,488,676/108,030,970 = 108,030,970/x
  3. Step 3: Cross multiply
    46,488,676x = 108,030,970 × 108,030,970
  4. Step 4: Simplify right side
    46,488,676x = 11,670,690,479,140,900
  5. Step 5: Solve for x
    x = 11,670,690,479,140,900/46,488,676
  6. Step 6: Final answer
    x = 251,043,726.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.