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Finding the Third Proportional to 677,051,418 and 935,531,293.50

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Solution

The third proportional to 677,051,418 and 935,531,293.50 is: 1,292,691,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,051,418 : 935,531,293.50 = 935,531,293.50 : x
  2. Step 2: Convert to fraction form
    677,051,418/935,531,293.50 = 935,531,293.50/x
  3. Step 3: Cross multiply
    677,051,418x = 935,531,293.50 × 935,531,293.50
  4. Step 4: Simplify right side
    677,051,418x = 875,218,801,117,783,168
  5. Step 5: Solve for x
    x = 875,218,801,117,783,168/677,051,418
  6. Step 6: Final answer
    x = 1,292,691,777.68

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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.