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Finding the Third Proportional to 54,072,177 and 83,779,929

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Solution

The third proportional to 54,072,177 and 83,779,929 is: 129,809,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072,177 : 83,779,929 = 83,779,929 : x
  2. Step 2: Convert to fraction form
    54,072,177/83,779,929 = 83,779,929/x
  3. Step 3: Cross multiply
    54,072,177x = 83,779,929 × 83,779,929
  4. Step 4: Simplify right side
    54,072,177x = 7,019,076,503,245,041
  5. Step 5: Solve for x
    x = 7,019,076,503,245,041/54,072,177
  6. Step 6: Final answer
    x = 129,809,393.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.