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Finding the Third Proportional to 54,428,768,823 and 75,678,852,451.50

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Solution

The third proportional to 54,428,768,823 and 75,678,852,451.50 is: 105,225,395,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,428,768,823 : 75,678,852,451.50 = 75,678,852,451.50 : x
  2. Step 2: Convert to fraction form
    54,428,768,823/75,678,852,451.50 = 75,678,852,451.50/x
  3. Step 3: Cross multiply
    54,428,768,823x = 75,678,852,451.50 × 75,678,852,451.50
  4. Step 4: Simplify right side
    54,428,768,823x = 5,727,288,708,375,907,401,728
  5. Step 5: Solve for x
    x = 5,727,288,708,375,907,401,728/54,428,768,823
  6. Step 6: Final answer
    x = 105,225,395,176.60

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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.