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Finding the Third Proportional to 377,489,521,281.40 and 828,062,958,350.70

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Solution

The third proportional to 377,489,521,281.40 and 828,062,958,350.70 is: 1,816,443,170,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,489,521,281.40 : 828,062,958,350.70 = 828,062,958,350.70 : x
  2. Step 2: Convert to fraction form
    377,489,521,281.40/828,062,958,350.70 = 828,062,958,350.70/x
  3. Step 3: Cross multiply
    377,489,521,281.40x = 828,062,958,350.70 × 828,062,958,350.70
  4. Step 4: Simplify right side
    377,489,521,281.40x = 685,688,262,992,513,086,783,488
  5. Step 5: Solve for x
    x = 685,688,262,992,513,086,783,488/377,489,521,281.40
  6. Step 6: Final answer
    x = 1,816,443,170,832.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.