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Finding the Third Proportional to 5,236,835,064 and 7,847,592,168

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Solution

The third proportional to 5,236,835,064 and 7,847,592,168 is: 11,759,908,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236,835,064 : 7,847,592,168 = 7,847,592,168 : x
  2. Step 2: Convert to fraction form
    5,236,835,064/7,847,592,168 = 7,847,592,168/x
  3. Step 3: Cross multiply
    5,236,835,064x = 7,847,592,168 × 7,847,592,168
  4. Step 4: Simplify right side
    5,236,835,064x = 61,584,702,835,254,943,744
  5. Step 5: Solve for x
    x = 61,584,702,835,254,943,744/5,236,835,064
  6. Step 6: Final answer
    x = 11,759,908,815.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.