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Finding the Third Proportional to 25,001,664 and 37,569,078

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Solution

The third proportional to 25,001,664 and 37,569,078 is: 56,453,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,001,664 : 37,569,078 = 37,569,078 : x
  2. Step 2: Convert to fraction form
    25,001,664/37,569,078 = 37,569,078/x
  3. Step 3: Cross multiply
    25,001,664x = 37,569,078 × 37,569,078
  4. Step 4: Simplify right side
    25,001,664x = 1,411,435,621,770,084
  5. Step 5: Solve for x
    x = 1,411,435,621,770,084/25,001,664
  6. Step 6: Final answer
    x = 56,453,667.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.