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Finding the Third Proportional to 6,635,008,548 and 14,254,684,704

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Solution

The third proportional to 6,635,008,548 and 14,254,684,704 is: 30,624,834,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635,008,548 : 14,254,684,704 = 14,254,684,704 : x
  2. Step 2: Convert to fraction form
    6,635,008,548/14,254,684,704 = 14,254,684,704/x
  3. Step 3: Cross multiply
    6,635,008,548x = 14,254,684,704 × 14,254,684,704
  4. Step 4: Simplify right side
    6,635,008,548x = 203,196,036,010,451,566,592
  5. Step 5: Solve for x
    x = 203,196,036,010,451,566,592/6,635,008,548
  6. Step 6: Final answer
    x = 30,624,834,096.36

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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.