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Finding the Third Proportional to 29,874,906 and 64,289,903

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Solution

The third proportional to 29,874,906 and 64,289,903 is: 138,349,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874,906 : 64,289,903 = 64,289,903 : x
  2. Step 2: Convert to fraction form
    29,874,906/64,289,903 = 64,289,903/x
  3. Step 3: Cross multiply
    29,874,906x = 64,289,903 × 64,289,903
  4. Step 4: Simplify right side
    29,874,906x = 4,133,191,627,749,409
  5. Step 5: Solve for x
    x = 4,133,191,627,749,409/29,874,906
  6. Step 6: Final answer
    x = 138,349,945.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.