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Finding the Third Proportional to 14,371,454,541 and 31,452,145,469

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Solution

The third proportional to 14,371,454,541 and 31,452,145,469 is: 68,833,495,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371,454,541 : 31,452,145,469 = 31,452,145,469 : x
  2. Step 2: Convert to fraction form
    14,371,454,541/31,452,145,469 = 31,452,145,469/x
  3. Step 3: Cross multiply
    14,371,454,541x = 31,452,145,469 × 31,452,145,469
  4. Step 4: Simplify right side
    14,371,454,541x = 989,237,454,603,137,187,840
  5. Step 5: Solve for x
    x = 989,237,454,603,137,187,840/14,371,454,541
  6. Step 6: Final answer
    x = 68,833,495,717.57

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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.