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Finding the Third Proportional to 322,841,139,242 and 693,592,942,158

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Solution

The third proportional to 322,841,139,242 and 693,592,942,158 is: 1,490,117,308,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,841,139,242 : 693,592,942,158 = 693,592,942,158 : x
  2. Step 2: Convert to fraction form
    322,841,139,242/693,592,942,158 = 693,592,942,158/x
  3. Step 3: Cross multiply
    322,841,139,242x = 693,592,942,158 × 693,592,942,158
  4. Step 4: Simplify right side
    322,841,139,242x = 481,071,169,411,390,717,820,928
  5. Step 5: Solve for x
    x = 481,071,169,411,390,717,820,928/322,841,139,242
  6. Step 6: Final answer
    x = 1,490,117,308,286.36

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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.