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Finding the Third Proportional to 1,894,505,459,690 and 4,090,962,233,236

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Solution

The third proportional to 1,894,505,459,690 and 4,090,962,233,236 is: 8,833,952,896,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,505,459,690 : 4,090,962,233,236 = 4,090,962,233,236 : x
  2. Step 2: Convert to fraction form
    1,894,505,459,690/4,090,962,233,236 = 4,090,962,233,236/x
  3. Step 3: Cross multiply
    1,894,505,459,690x = 4,090,962,233,236 × 4,090,962,233,236
  4. Step 4: Simplify right side
    1,894,505,459,690x = 16,735,971,993,763,280,991,551,488
  5. Step 5: Solve for x
    x = 16,735,971,993,763,280,991,551,488/1,894,505,459,690
  6. Step 6: Final answer
    x = 8,833,952,896,869.35

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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.