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Finding the Third Proportional to 54,428,768,715.50 and 75,678,852,256

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Solution

The third proportional to 54,428,768,715.50 and 75,678,852,256 is: 105,225,394,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,428,768,715.50 : 75,678,852,256 = 75,678,852,256 : x
  2. Step 2: Convert to fraction form
    54,428,768,715.50/75,678,852,256 = 75,678,852,256/x
  3. Step 3: Cross multiply
    54,428,768,715.50x = 75,678,852,256 × 75,678,852,256
  4. Step 4: Simplify right side
    54,428,768,715.50x = 5,727,288,678,785,476,460,544
  5. Step 5: Solve for x
    x = 5,727,288,678,785,476,460,544/54,428,768,715.50
  6. Step 6: Final answer
    x = 105,225,394,840.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.