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Finding the Third Proportional to 458,521,517 and 968,796,633

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Solution

The third proportional to 458,521,517 and 968,796,633 is: 2,046,941,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,521,517 : 968,796,633 = 968,796,633 : x
  2. Step 2: Convert to fraction form
    458,521,517/968,796,633 = 968,796,633/x
  3. Step 3: Cross multiply
    458,521,517x = 968,796,633 × 968,796,633
  4. Step 4: Simplify right side
    458,521,517x = 938,566,916,112,136,704
  5. Step 5: Solve for x
    x = 938,566,916,112,136,704/458,521,517
  6. Step 6: Final answer
    x = 2,046,941,923.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.