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Finding the Third Proportional to 1,375,756,950,262.50 and 2,051,705,018,868.80

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Solution

The third proportional to 1,375,756,950,262.50 and 2,051,705,018,868.80 is: 3,059,765,377,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,756,950,262.50 : 2,051,705,018,868.80 = 2,051,705,018,868.80 : x
  2. Step 2: Convert to fraction form
    1,375,756,950,262.50/2,051,705,018,868.80 = 2,051,705,018,868.80/x
  3. Step 3: Cross multiply
    1,375,756,950,262.50x = 2,051,705,018,868.80 × 2,051,705,018,868.80
  4. Step 4: Simplify right side
    1,375,756,950,262.50x = 4,209,493,484,451,422,948,818,944
  5. Step 5: Solve for x
    x = 4,209,493,484,451,422,948,818,944/1,375,756,950,262.50
  6. Step 6: Final answer
    x = 3,059,765,377,633.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.