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Finding the Third Proportional to 35,362,074 and 77,297,964

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Solution

The third proportional to 35,362,074 and 77,297,964 is: 168,965,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,362,074 : 77,297,964 = 77,297,964 : x
  2. Step 2: Convert to fraction form
    35,362,074/77,297,964 = 77,297,964/x
  3. Step 3: Cross multiply
    35,362,074x = 77,297,964 × 77,297,964
  4. Step 4: Simplify right side
    35,362,074x = 5,974,975,238,545,296
  5. Step 5: Solve for x
    x = 5,974,975,238,545,296/35,362,074
  6. Step 6: Final answer
    x = 168,965,633.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.