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Finding the Third Proportional to 368,695,036 and 789,979,323

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Solution

The third proportional to 368,695,036 and 789,979,323 is: 1,692,638,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,695,036 : 789,979,323 = 789,979,323 : x
  2. Step 2: Convert to fraction form
    368,695,036/789,979,323 = 789,979,323/x
  3. Step 3: Cross multiply
    368,695,036x = 789,979,323 × 789,979,323
  4. Step 4: Simplify right side
    368,695,036x = 624,067,330,767,538,304
  5. Step 5: Solve for x
    x = 624,067,330,767,538,304/368,695,036
  6. Step 6: Final answer
    x = 1,692,638,277.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.