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Finding the Third Proportional to 29,501,316 and 64,382,326

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Solution

The third proportional to 29,501,316 and 64,382,326 is: 140,505,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,501,316 : 64,382,326 = 64,382,326 : x
  2. Step 2: Convert to fraction form
    29,501,316/64,382,326 = 64,382,326/x
  3. Step 3: Cross multiply
    29,501,316x = 64,382,326 × 64,382,326
  4. Step 4: Simplify right side
    29,501,316x = 4,145,083,901,170,276
  5. Step 5: Solve for x
    x = 4,145,083,901,170,276/29,501,316
  6. Step 6: Final answer
    x = 140,505,050.73

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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.