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Finding the Third Proportional to 904,896,642 and 1,948,454,931

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Solution

The third proportional to 904,896,642 and 1,948,454,931 is: 4,195,480,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,896,642 : 1,948,454,931 = 1,948,454,931 : x
  2. Step 2: Convert to fraction form
    904,896,642/1,948,454,931 = 1,948,454,931/x
  3. Step 3: Cross multiply
    904,896,642x = 1,948,454,931 × 1,948,454,931
  4. Step 4: Simplify right side
    904,896,642x = 3,796,476,618,138,214,912
  5. Step 5: Solve for x
    x = 3,796,476,618,138,214,912/904,896,642
  6. Step 6: Final answer
    x = 4,195,480,944.37

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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.