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Finding the Third Proportional to 6,635,008,550 and 14,254,684,708

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Solution

The third proportional to 6,635,008,550 and 14,254,684,708 is: 30,624,834,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635,008,550 : 14,254,684,708 = 14,254,684,708 : x
  2. Step 2: Convert to fraction form
    6,635,008,550/14,254,684,708 = 14,254,684,708/x
  3. Step 3: Cross multiply
    6,635,008,550x = 14,254,684,708 × 14,254,684,708
  4. Step 4: Simplify right side
    6,635,008,550x = 203,196,036,124,489,056,256
  5. Step 5: Solve for x
    x = 203,196,036,124,489,056,256/6,635,008,550
  6. Step 6: Final answer
    x = 30,624,834,104.32

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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.