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Finding the Third Proportional to 35,586,922 and 77,697,912

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Solution

The third proportional to 35,586,922 and 77,697,912 is: 169,640,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,586,922 : 77,697,912 = 77,697,912 : x
  2. Step 2: Convert to fraction form
    35,586,922/77,697,912 = 77,697,912/x
  3. Step 3: Cross multiply
    35,586,922x = 77,697,912 × 77,697,912
  4. Step 4: Simplify right side
    35,586,922x = 6,036,965,529,159,744
  5. Step 5: Solve for x
    x = 6,036,965,529,159,744/35,586,922
  6. Step 6: Final answer
    x = 169,640,002.28

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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.