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Finding the Third Proportional to 1,375,756,950,265 and 2,051,705,018,872

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Solution

The third proportional to 1,375,756,950,265 and 2,051,705,018,872 is: 3,059,765,377,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,756,950,265 : 2,051,705,018,872 = 2,051,705,018,872 : x
  2. Step 2: Convert to fraction form
    1,375,756,950,265/2,051,705,018,872 = 2,051,705,018,872/x
  3. Step 3: Cross multiply
    1,375,756,950,265x = 2,051,705,018,872 × 2,051,705,018,872
  4. Step 4: Simplify right side
    1,375,756,950,265x = 4,209,493,484,464,553,737,584,640
  5. Step 5: Solve for x
    x = 4,209,493,484,464,553,737,584,640/1,375,756,950,265
  6. Step 6: Final answer
    x = 3,059,765,377,637.17

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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.