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Finding the Third Proportional to 442,111,961,888 and 679,138,060,863

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Solution

The third proportional to 442,111,961,888 and 679,138,060,863 is: 1,043,239,146,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,111,961,888 : 679,138,060,863 = 679,138,060,863 : x
  2. Step 2: Convert to fraction form
    442,111,961,888/679,138,060,863 = 679,138,060,863/x
  3. Step 3: Cross multiply
    442,111,961,888x = 679,138,060,863 × 679,138,060,863
  4. Step 4: Simplify right side
    442,111,961,888x = 461,228,505,712,755,883,376,640
  5. Step 5: Solve for x
    x = 461,228,505,712,755,883,376,640/442,111,961,888
  6. Step 6: Final answer
    x = 1,043,239,146,353.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.