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Finding the Third Proportional to 4,027,069,406 and 9,492,922,382

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Solution

The third proportional to 4,027,069,406 and 9,492,922,382 is: 22,377,457,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027,069,406 : 9,492,922,382 = 9,492,922,382 : x
  2. Step 2: Convert to fraction form
    4,027,069,406/9,492,922,382 = 9,492,922,382/x
  3. Step 3: Cross multiply
    4,027,069,406x = 9,492,922,382 × 9,492,922,382
  4. Step 4: Simplify right side
    4,027,069,406x = 90,115,575,350,676,553,728
  5. Step 5: Solve for x
    x = 90,115,575,350,676,553,728/4,027,069,406
  6. Step 6: Final answer
    x = 22,377,457,715.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.