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Finding the Third Proportional to 77,574,927 and 164,606,311.50

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Solution

The third proportional to 77,574,927 and 164,606,311.50 is: 349,278,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574,927 : 164,606,311.50 = 164,606,311.50 : x
  2. Step 2: Convert to fraction form
    77,574,927/164,606,311.50 = 164,606,311.50/x
  3. Step 3: Cross multiply
    77,574,927x = 164,606,311.50 × 164,606,311.50
  4. Step 4: Simplify right side
    77,574,927x = 27,095,237,785,635,032
  5. Step 5: Solve for x
    x = 27,095,237,785,635,032/77,574,927
  6. Step 6: Final answer
    x = 349,278,289.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.