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Finding the Third Proportional to 7,752,942,914 and 16,909,086,904

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Solution

The third proportional to 7,752,942,914 and 16,909,086,904 is: 36,878,540,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752,942,914 : 16,909,086,904 = 16,909,086,904 : x
  2. Step 2: Convert to fraction form
    7,752,942,914/16,909,086,904 = 16,909,086,904/x
  3. Step 3: Cross multiply
    7,752,942,914x = 16,909,086,904 × 16,909,086,904
  4. Step 4: Simplify right side
    7,752,942,914x = 285,917,219,927,024,304,128
  5. Step 5: Solve for x
    x = 285,917,219,927,024,304,128/7,752,942,914
  6. Step 6: Final answer
    x = 36,878,540,587.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.