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Finding the Third Proportional to 290,908,633,781 and 679,693,831,902

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Solution

The third proportional to 290,908,633,781 and 679,693,831,902 is: 1,588,071,481,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,908,633,781 : 679,693,831,902 = 679,693,831,902 : x
  2. Step 2: Convert to fraction form
    290,908,633,781/679,693,831,902 = 679,693,831,902/x
  3. Step 3: Cross multiply
    290,908,633,781x = 679,693,831,902 × 679,693,831,902
  4. Step 4: Simplify right side
    290,908,633,781x = 461,983,705,125,624,207,114,240
  5. Step 5: Solve for x
    x = 461,983,705,125,624,207,114,240/290,908,633,781
  6. Step 6: Final answer
    x = 1,588,071,481,829.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.