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Finding the Third Proportional to 29,769,055.38 and 64,099,509.38

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Solution

The third proportional to 29,769,055.38 and 64,099,509.38 is: 138,020,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769,055.38 : 64,099,509.38 = 64,099,509.38 : x
  2. Step 2: Convert to fraction form
    29,769,055.38/64,099,509.38 = 64,099,509.38/x
  3. Step 3: Cross multiply
    29,769,055.38x = 64,099,509.38 × 64,099,509.38
  4. Step 4: Simplify right side
    29,769,055.38x = 4,108,747,102,115,713
  5. Step 5: Solve for x
    x = 4,108,747,102,115,713/29,769,055.38
  6. Step 6: Final answer
    x = 138,020,741.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.