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Finding the Third Proportional to 54,428,768,824 and 75,678,852,453

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Solution

The third proportional to 54,428,768,824 and 75,678,852,453 is: 105,225,395,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,428,768,824 : 75,678,852,453 = 75,678,852,453 : x
  2. Step 2: Convert to fraction form
    54,428,768,824/75,678,852,453 = 75,678,852,453/x
  3. Step 3: Cross multiply
    54,428,768,824x = 75,678,852,453 × 75,678,852,453
  4. Step 4: Simplify right side
    54,428,768,824x = 5,727,288,708,602,944,028,672
  5. Step 5: Solve for x
    x = 5,727,288,708,602,944,028,672/54,428,768,824
  6. Step 6: Final answer
    x = 105,225,395,178.84

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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.