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Finding the Third Proportional to 29,519,629.50 and 64,057,017

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Solution

The third proportional to 29,519,629.50 and 64,057,017 is: 139,002,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,519,629.50 : 64,057,017 = 64,057,017 : x
  2. Step 2: Convert to fraction form
    29,519,629.50/64,057,017 = 64,057,017/x
  3. Step 3: Cross multiply
    29,519,629.50x = 64,057,017 × 64,057,017
  4. Step 4: Simplify right side
    29,519,629.50x = 4,103,301,426,938,289
  5. Step 5: Solve for x
    x = 4,103,301,426,938,289/29,519,629.50
  6. Step 6: Final answer
    x = 139,002,470.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.