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Finding the Third Proportional to 746,178,036 and 1,597,176,350.50

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Solution

The third proportional to 746,178,036 and 1,597,176,350.50 is: 3,418,718,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,178,036 : 1,597,176,350.50 = 1,597,176,350.50 : x
  2. Step 2: Convert to fraction form
    746,178,036/1,597,176,350.50 = 1,597,176,350.50/x
  3. Step 3: Cross multiply
    746,178,036x = 1,597,176,350.50 × 1,597,176,350.50
  4. Step 4: Simplify right side
    746,178,036x = 2,550,972,294,596,498,944
  5. Step 5: Solve for x
    x = 2,550,972,294,596,498,944/746,178,036
  6. Step 6: Final answer
    x = 3,418,718,015.70

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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.