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Finding the Third Proportional to 677,051,168 and 935,530,906

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Solution

The third proportional to 677,051,168 and 935,530,906 is: 1,292,691,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,051,168 : 935,530,906 = 935,530,906 : x
  2. Step 2: Convert to fraction form
    677,051,168/935,530,906 = 935,530,906/x
  3. Step 3: Cross multiply
    677,051,168x = 935,530,906 × 935,530,906
  4. Step 4: Simplify right side
    677,051,168x = 875,218,076,081,180,800
  5. Step 5: Solve for x
    x = 875,218,076,081,180,800/677,051,168
  6. Step 6: Final answer
    x = 1,292,691,184.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.