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Finding the Third Proportional to 453,144,024 and 699,733,650

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Solution

The third proportional to 453,144,024 and 699,733,650 is: 1,080,511,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,144,024 : 699,733,650 = 699,733,650 : x
  2. Step 2: Convert to fraction form
    453,144,024/699,733,650 = 699,733,650/x
  3. Step 3: Cross multiply
    453,144,024x = 699,733,650 × 699,733,650
  4. Step 4: Simplify right side
    453,144,024x = 489,627,180,942,322,496
  5. Step 5: Solve for x
    x = 489,627,180,942,322,496/453,144,024
  6. Step 6: Final answer
    x = 1,080,511,173.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.