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Finding the Third Proportional to 746,178,035 and 1,597,176,348.50

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Solution

The third proportional to 746,178,035 and 1,597,176,348.50 is: 3,418,718,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,178,035 : 1,597,176,348.50 = 1,597,176,348.50 : x
  2. Step 2: Convert to fraction form
    746,178,035/1,597,176,348.50 = 1,597,176,348.50/x
  3. Step 3: Cross multiply
    746,178,035x = 1,597,176,348.50 × 1,597,176,348.50
  4. Step 4: Simplify right side
    746,178,035x = 2,550,972,288,207,793,664
  5. Step 5: Solve for x
    x = 2,550,972,288,207,793,664/746,178,035
  6. Step 6: Final answer
    x = 3,418,718,011.72

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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.