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Finding the Third Proportional to 3,605,970,152 and 7,832,687,586

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Solution

The third proportional to 3,605,970,152 and 7,832,687,586 is: 17,013,727,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605,970,152 : 7,832,687,586 = 7,832,687,586 : x
  2. Step 2: Convert to fraction form
    3,605,970,152/7,832,687,586 = 7,832,687,586/x
  3. Step 3: Cross multiply
    3,605,970,152x = 7,832,687,586 × 7,832,687,586
  4. Step 4: Simplify right side
    3,605,970,152x = 61,350,994,819,878,510,592
  5. Step 5: Solve for x
    x = 61,350,994,819,878,510,592/3,605,970,152
  6. Step 6: Final answer
    x = 17,013,727,855.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.