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Finding the Third Proportional to 34,009,718 and 69,446,933

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Solution

The third proportional to 34,009,718 and 69,446,933 is: 141,808,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009,718 : 69,446,933 = 69,446,933 : x
  2. Step 2: Convert to fraction form
    34,009,718/69,446,933 = 69,446,933/x
  3. Step 3: Cross multiply
    34,009,718x = 69,446,933 × 69,446,933
  4. Step 4: Simplify right side
    34,009,718x = 4,822,876,503,106,489
  5. Step 5: Solve for x
    x = 4,822,876,503,106,489/34,009,718
  6. Step 6: Final answer
    x = 141,808,776.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.