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Finding the Third Proportional to 463,913,177,004 and 998,726,731,776

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Solution

The third proportional to 463,913,177,004 and 998,726,731,776 is: 2,150,090,004,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,913,177,004 : 998,726,731,776 = 998,726,731,776 : x
  2. Step 2: Convert to fraction form
    463,913,177,004/998,726,731,776 = 998,726,731,776/x
  3. Step 3: Cross multiply
    463,913,177,004x = 998,726,731,776 × 998,726,731,776
  4. Step 4: Simplify right side
    463,913,177,004x = 997,455,084,763,970,243,919,872
  5. Step 5: Solve for x
    x = 997,455,084,763,970,243,919,872/463,913,177,004
  6. Step 6: Final answer
    x = 2,150,090,004,353.06

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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.