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Finding the Third Proportional to 711,713,980 and 1,538,541,272

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Solution

The third proportional to 711,713,980 and 1,538,541,272 is: 3,325,927,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,713,980 : 1,538,541,272 = 1,538,541,272 : x
  2. Step 2: Convert to fraction form
    711,713,980/1,538,541,272 = 1,538,541,272/x
  3. Step 3: Cross multiply
    711,713,980x = 1,538,541,272 × 1,538,541,272
  4. Step 4: Simplify right side
    711,713,980x = 2,367,109,245,647,377,920
  5. Step 5: Solve for x
    x = 2,367,109,245,647,377,920/711,713,980
  6. Step 6: Final answer
    x = 3,325,927,707.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.