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Finding the Third Proportional to 459,131,925,456 and 994,663,247,031

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Solution

The third proportional to 459,131,925,456 and 994,663,247,031 is: 2,154,838,119,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,131,925,456 : 994,663,247,031 = 994,663,247,031 : x
  2. Step 2: Convert to fraction form
    459,131,925,456/994,663,247,031 = 994,663,247,031/x
  3. Step 3: Cross multiply
    459,131,925,456x = 994,663,247,031 × 994,663,247,031
  4. Step 4: Simplify right side
    459,131,925,456x = 989,354,974,994,252,118,884,352
  5. Step 5: Solve for x
    x = 989,354,974,994,252,118,884,352/459,131,925,456
  6. Step 6: Final answer
    x = 2,154,838,119,809.78

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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.