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Finding the Third Proportional to 322,841,137,812 and 693,592,939,719

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Solution

The third proportional to 322,841,137,812 and 693,592,939,719 is: 1,490,117,304,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,841,137,812 : 693,592,939,719 = 693,592,939,719 : x
  2. Step 2: Convert to fraction form
    322,841,137,812/693,592,939,719 = 693,592,939,719/x
  3. Step 3: Cross multiply
    322,841,137,812x = 693,592,939,719 × 693,592,939,719
  4. Step 4: Simplify right side
    322,841,137,812x = 481,071,166,028,044,390,367,232
  5. Step 5: Solve for x
    x = 481,071,166,028,044,390,367,232/322,841,137,812
  6. Step 6: Final answer
    x = 1,490,117,304,406.81

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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.