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Finding the Third Proportional to 5,117,777,912 and 7,862,900,133

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Solution

The third proportional to 5,117,777,912 and 7,862,900,133 is: 12,080,477,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117,777,912 : 7,862,900,133 = 7,862,900,133 : x
  2. Step 2: Convert to fraction form
    5,117,777,912/7,862,900,133 = 7,862,900,133/x
  3. Step 3: Cross multiply
    5,117,777,912x = 7,862,900,133 × 7,862,900,133
  4. Step 4: Simplify right side
    5,117,777,912x = 61,825,198,501,531,418,624
  5. Step 5: Solve for x
    x = 61,825,198,501,531,418,624/5,117,777,912
  6. Step 6: Final answer
    x = 12,080,477,028.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.