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Finding the Third Proportional to 14,995,306,129.50 and 31,231,764,891

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Solution

The third proportional to 14,995,306,129.50 and 31,231,764,891 is: 65,048,564,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,995,306,129.50 : 31,231,764,891 = 31,231,764,891 : x
  2. Step 2: Convert to fraction form
    14,995,306,129.50/31,231,764,891 = 31,231,764,891/x
  3. Step 3: Cross multiply
    14,995,306,129.50x = 31,231,764,891 × 31,231,764,891
  4. Step 4: Simplify right side
    14,995,306,129.50x = 975,423,138,206,700,273,664
  5. Step 5: Solve for x
    x = 975,423,138,206,700,273,664/14,995,306,129.50
  6. Step 6: Final answer
    x = 65,048,564,516.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.