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Finding the Third Proportional to 77,483,314 and 168,586,333

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Solution

The third proportional to 77,483,314 and 168,586,333 is: 366,806,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,483,314 : 168,586,333 = 168,586,333 : x
  2. Step 2: Convert to fraction form
    77,483,314/168,586,333 = 168,586,333/x
  3. Step 3: Cross multiply
    77,483,314x = 168,586,333 × 168,586,333
  4. Step 4: Simplify right side
    77,483,314x = 28,421,351,674,386,888
  5. Step 5: Solve for x
    x = 28,421,351,674,386,888/77,483,314
  6. Step 6: Final answer
    x = 366,806,092.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.