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Finding the Third Proportional to 3,450,314,208 and 4,933,989,696

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Solution

The third proportional to 3,450,314,208 and 4,933,989,696 is: 7,055,663,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450,314,208 : 4,933,989,696 = 4,933,989,696 : x
  2. Step 2: Convert to fraction form
    3,450,314,208/4,933,989,696 = 4,933,989,696/x
  3. Step 3: Cross multiply
    3,450,314,208x = 4,933,989,696 × 4,933,989,696
  4. Step 4: Simplify right side
    3,450,314,208x = 24,344,254,320,234,172,416
  5. Step 5: Solve for x
    x = 24,344,254,320,234,172,416/3,450,314,208
  6. Step 6: Final answer
    x = 7,055,663,007.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.