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Finding the Third Proportional to 576,498,237,770 and 1,239,757,477,967

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Solution

The third proportional to 576,498,237,770 and 1,239,757,477,967 is: 2,666,094,193,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,498,237,770 : 1,239,757,477,967 = 1,239,757,477,967 : x
  2. Step 2: Convert to fraction form
    576,498,237,770/1,239,757,477,967 = 1,239,757,477,967/x
  3. Step 3: Cross multiply
    576,498,237,770x = 1,239,757,477,967 × 1,239,757,477,967
  4. Step 4: Simplify right side
    576,498,237,770x = 1,536,998,604,175,096,619,728,896
  5. Step 5: Solve for x
    x = 1,536,998,604,175,096,619,728,896/576,498,237,770
  6. Step 6: Final answer
    x = 2,666,094,193,315.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.