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Finding the Third Proportional to 677,051,149.50 and 935,530,880.63

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Solution

The third proportional to 677,051,149.50 and 935,530,880.63 is: 1,292,691,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,051,149.50 : 935,530,880.63 = 935,530,880.63 : x
  2. Step 2: Convert to fraction form
    677,051,149.50/935,530,880.63 = 935,530,880.63/x
  3. Step 3: Cross multiply
    677,051,149.50x = 935,530,880.63 × 935,530,880.63
  4. Step 4: Simplify right side
    677,051,149.50x = 875,218,028,602,988,032
  5. Step 5: Solve for x
    x = 875,218,028,602,988,032/677,051,149.50
  6. Step 6: Final answer
    x = 1,292,691,149.33

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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.