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Finding the Third Proportional to 29,222,929 and 46,540,441.50

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Solution

The third proportional to 29,222,929 and 46,540,441.50 is: 74,120,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,222,929 : 46,540,441.50 = 46,540,441.50 : x
  2. Step 2: Convert to fraction form
    29,222,929/46,540,441.50 = 46,540,441.50/x
  3. Step 3: Cross multiply
    29,222,929x = 46,540,441.50 × 46,540,441.50
  4. Step 4: Simplify right side
    29,222,929x = 2,166,012,695,014,922.25
  5. Step 5: Solve for x
    x = 2,166,012,695,014,922.25/29,222,929
  6. Step 6: Final answer
    x = 74,120,314.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.