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Finding the Third Proportional to 6,507,535,548.38 and 9,164,044,053

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Solution

The third proportional to 6,507,535,548.38 and 9,164,044,053 is: 12,904,993,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507,535,548.38 : 9,164,044,053 = 9,164,044,053 : x
  2. Step 2: Convert to fraction form
    6,507,535,548.38/9,164,044,053 = 9,164,044,053/x
  3. Step 3: Cross multiply
    6,507,535,548.38x = 9,164,044,053 × 9,164,044,053
  4. Step 4: Simplify right side
    6,507,535,548.38x = 83,979,703,405,324,664,832
  5. Step 5: Solve for x
    x = 83,979,703,405,324,664,832/6,507,535,548.38
  6. Step 6: Final answer
    x = 12,904,993,415.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.