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Finding the Third Proportional to 2,466,299,670 and 3,563,376,979

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Solution

The third proportional to 2,466,299,670 and 3,563,376,979 is: 5,148,464,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,299,670 : 3,563,376,979 = 3,563,376,979 : x
  2. Step 2: Convert to fraction form
    2,466,299,670/3,563,376,979 = 3,563,376,979/x
  3. Step 3: Cross multiply
    2,466,299,670x = 3,563,376,979 × 3,563,376,979
  4. Step 4: Simplify right side
    2,466,299,670x = 12,697,655,494,467,166,208
  5. Step 5: Solve for x
    x = 12,697,655,494,467,166,208/2,466,299,670
  6. Step 6: Final answer
    x = 5,148,464,174.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.