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Finding the Third Proportional to 73,382,076 and 157,268,536

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Solution

The third proportional to 73,382,076 and 157,268,536 is: 337,049,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,382,076 : 157,268,536 = 157,268,536 : x
  2. Step 2: Convert to fraction form
    73,382,076/157,268,536 = 157,268,536/x
  3. Step 3: Cross multiply
    73,382,076x = 157,268,536 × 157,268,536
  4. Step 4: Simplify right side
    73,382,076x = 24,733,392,415,583,296
  5. Step 5: Solve for x
    x = 24,733,392,415,583,296/73,382,076
  6. Step 6: Final answer
    x = 337,049,505.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.