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Finding the Third Proportional to 34,633,881 and 75,296,146

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Solution

The third proportional to 34,633,881 and 75,296,146 is: 163,698,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,633,881 : 75,296,146 = 75,296,146 : x
  2. Step 2: Convert to fraction form
    34,633,881/75,296,146 = 75,296,146/x
  3. Step 3: Cross multiply
    34,633,881x = 75,296,146 × 75,296,146
  4. Step 4: Simplify right side
    34,633,881x = 5,669,509,602,453,316
  5. Step 5: Solve for x
    x = 5,669,509,602,453,316/34,633,881
  6. Step 6: Final answer
    x = 163,698,362.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.