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Finding the Third Proportional to 431,827,464 and 940,326,285

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Solution

The third proportional to 431,827,464 and 940,326,285 is: 2,047,608,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,827,464 : 940,326,285 = 940,326,285 : x
  2. Step 2: Convert to fraction form
    431,827,464/940,326,285 = 940,326,285/x
  3. Step 3: Cross multiply
    431,827,464x = 940,326,285 × 940,326,285
  4. Step 4: Simplify right side
    431,827,464x = 884,213,522,261,901,184
  5. Step 5: Solve for x
    x = 884,213,522,261,901,184/431,827,464
  6. Step 6: Final answer
    x = 2,047,608,352.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.