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Finding the Third Proportional to 468,949,464 and 1,002,436,128

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Solution

The third proportional to 468,949,464 and 1,002,436,128 is: 2,142,828,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,949,464 : 1,002,436,128 = 1,002,436,128 : x
  2. Step 2: Convert to fraction form
    468,949,464/1,002,436,128 = 1,002,436,128/x
  3. Step 3: Cross multiply
    468,949,464x = 1,002,436,128 × 1,002,436,128
  4. Step 4: Simplify right side
    468,949,464x = 1,004,878,190,719,632,384
  5. Step 5: Solve for x
    x = 1,004,878,190,719,632,384/468,949,464
  6. Step 6: Final answer
    x = 2,142,828,317.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.