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Finding the Third Proportional to 54,428,768,825 and 75,678,852,454

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Solution

The third proportional to 54,428,768,825 and 75,678,852,454 is: 105,225,395,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,428,768,825 : 75,678,852,454 = 75,678,852,454 : x
  2. Step 2: Convert to fraction form
    54,428,768,825/75,678,852,454 = 75,678,852,454/x
  3. Step 3: Cross multiply
    54,428,768,825x = 75,678,852,454 × 75,678,852,454
  4. Step 4: Simplify right side
    54,428,768,825x = 5,727,288,708,754,301,779,968
  5. Step 5: Solve for x
    x = 5,727,288,708,754,301,779,968/54,428,768,825
  6. Step 6: Final answer
    x = 105,225,395,179.68

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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.