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Finding the Third Proportional to 35,558,913 and 77,578,738

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Solution

The third proportional to 35,558,913 and 77,578,738 is: 169,253,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,558,913 : 77,578,738 = 77,578,738 : x
  2. Step 2: Convert to fraction form
    35,558,913/77,578,738 = 77,578,738/x
  3. Step 3: Cross multiply
    35,558,913x = 77,578,738 × 77,578,738
  4. Step 4: Simplify right side
    35,558,913x = 6,018,460,589,672,644
  5. Step 5: Solve for x
    x = 6,018,460,589,672,644/35,558,913
  6. Step 6: Final answer
    x = 169,253,221.82

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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.