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Finding the Third Proportional to 19,838,482,512 and 42,832,836,408

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Solution

The third proportional to 19,838,482,512 and 42,832,836,408 is: 92,479,446,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838,482,512 : 42,832,836,408 = 42,832,836,408 : x
  2. Step 2: Convert to fraction form
    19,838,482,512/42,832,836,408 = 42,832,836,408/x
  3. Step 3: Cross multiply
    19,838,482,512x = 42,832,836,408 × 42,832,836,408
  4. Step 4: Simplify right side
    19,838,482,512x = 1,834,651,874,754,490,269,696
  5. Step 5: Solve for x
    x = 1,834,651,874,754,490,269,696/19,838,482,512
  6. Step 6: Final answer
    x = 92,479,446,129.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.