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Finding the Third Proportional to 11,830,097,031 and 18,376,496,453.25

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Solution

The third proportional to 11,830,097,031 and 18,376,496,453.25 is: 28,545,465,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830,097,031 : 18,376,496,453.25 = 18,376,496,453.25 : x
  2. Step 2: Convert to fraction form
    11,830,097,031/18,376,496,453.25 = 18,376,496,453.25/x
  3. Step 3: Cross multiply
    11,830,097,031x = 18,376,496,453.25 × 18,376,496,453.25
  4. Step 4: Simplify right side
    11,830,097,031x = 337,695,621,896,309,833,728
  5. Step 5: Solve for x
    x = 337,695,621,896,309,833,728/11,830,097,031
  6. Step 6: Final answer
    x = 28,545,465,097.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.