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Finding the Third Proportional to 9,572,782,245 and 14,704,965,610.50

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Solution

The third proportional to 9,572,782,245 and 14,704,965,610.50 is: 22,588,627,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572,782,245 : 14,704,965,610.50 = 14,704,965,610.50 : x
  2. Step 2: Convert to fraction form
    9,572,782,245/14,704,965,610.50 = 14,704,965,610.50/x
  3. Step 3: Cross multiply
    9,572,782,245x = 14,704,965,610.50 × 14,704,965,610.50
  4. Step 4: Simplify right side
    9,572,782,245x = 216,236,013,605,987,647,488
  5. Step 5: Solve for x
    x = 216,236,013,605,987,647,488/9,572,782,245
  6. Step 6: Final answer
    x = 22,588,627,639.47

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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.