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Finding the Third Proportional to 295,928,028 and 635,488,902

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Solution

The third proportional to 295,928,028 and 635,488,902 is: 1,364,676,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,928,028 : 635,488,902 = 635,488,902 : x
  2. Step 2: Convert to fraction form
    295,928,028/635,488,902 = 635,488,902/x
  3. Step 3: Cross multiply
    295,928,028x = 635,488,902 × 635,488,902
  4. Step 4: Simplify right side
    295,928,028x = 403,846,144,565,165,632
  5. Step 5: Solve for x
    x = 403,846,144,565,165,632/295,928,028
  6. Step 6: Final answer
    x = 1,364,676,902.34

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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.