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Finding the Third Proportional to 459,131,925,457 and 994,663,247,033

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Solution

The third proportional to 459,131,925,457 and 994,663,247,033 is: 2,154,838,119,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,131,925,457 : 994,663,247,033 = 994,663,247,033 : x
  2. Step 2: Convert to fraction form
    459,131,925,457/994,663,247,033 = 994,663,247,033/x
  3. Step 3: Cross multiply
    459,131,925,457x = 994,663,247,033 × 994,663,247,033
  4. Step 4: Simplify right side
    459,131,925,457x = 989,354,974,998,230,734,995,456
  5. Step 5: Solve for x
    x = 989,354,974,998,230,734,995,456/459,131,925,457
  6. Step 6: Final answer
    x = 2,154,838,119,813.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.