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Finding the Third Proportional to 35,558,922 and 77,578,754

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Solution

The third proportional to 35,558,922 and 77,578,754 is: 169,253,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,558,922 : 77,578,754 = 77,578,754 : x
  2. Step 2: Convert to fraction form
    35,558,922/77,578,754 = 77,578,754/x
  3. Step 3: Cross multiply
    35,558,922x = 77,578,754 × 77,578,754
  4. Step 4: Simplify right side
    35,558,922x = 6,018,463,072,192,516
  5. Step 5: Solve for x
    x = 6,018,463,072,192,516/35,558,922
  6. Step 6: Final answer
    x = 169,253,248.80

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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.