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Finding the Third Proportional to 635,819,658 and 858,778,686

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Solution

The third proportional to 635,819,658 and 858,778,686 is: 1,159,921,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,819,658 : 858,778,686 = 858,778,686 : x
  2. Step 2: Convert to fraction form
    635,819,658/858,778,686 = 858,778,686/x
  3. Step 3: Cross multiply
    635,819,658x = 858,778,686 × 858,778,686
  4. Step 4: Simplify right side
    635,819,658x = 737,500,831,527,886,592
  5. Step 5: Solve for x
    x = 737,500,831,527,886,592/635,819,658
  6. Step 6: Final answer
    x = 1,159,921,405.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.