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Finding the Third Proportional to 458,521,511 and 968,796,621

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Solution

The third proportional to 458,521,511 and 968,796,621 is: 2,046,941,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,521,511 : 968,796,621 = 968,796,621 : x
  2. Step 2: Convert to fraction form
    458,521,511/968,796,621 = 968,796,621/x
  3. Step 3: Cross multiply
    458,521,511x = 968,796,621 × 968,796,621
  4. Step 4: Simplify right side
    458,521,511x = 938,566,892,861,017,600
  5. Step 5: Solve for x
    x = 938,566,892,861,017,600/458,521,511
  6. Step 6: Final answer
    x = 2,046,941,899.88

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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.