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Finding the Third Proportional to 14,371,454,542.50 and 31,452,145,471.50

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Solution

The third proportional to 14,371,454,542.50 and 31,452,145,471.50 is: 68,833,495,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371,454,542.50 : 31,452,145,471.50 = 31,452,145,471.50 : x
  2. Step 2: Convert to fraction form
    14,371,454,542.50/31,452,145,471.50 = 31,452,145,471.50/x
  3. Step 3: Cross multiply
    14,371,454,542.50x = 31,452,145,471.50 × 31,452,145,471.50
  4. Step 4: Simplify right side
    14,371,454,542.50x = 989,237,454,760,397,897,728
  5. Step 5: Solve for x
    x = 989,237,454,760,397,897,728/14,371,454,542.50
  6. Step 6: Final answer
    x = 68,833,495,721.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.