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Finding the Third Proportional to 27,063,586 and 56,784,356

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Solution

The third proportional to 27,063,586 and 56,784,356 is: 119,143,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,063,586 : 56,784,356 = 56,784,356 : x
  2. Step 2: Convert to fraction form
    27,063,586/56,784,356 = 56,784,356/x
  3. Step 3: Cross multiply
    27,063,586x = 56,784,356 × 56,784,356
  4. Step 4: Simplify right side
    27,063,586x = 3,224,463,086,334,736
  5. Step 5: Solve for x
    x = 3,224,463,086,334,736/27,063,586
  6. Step 6: Final answer
    x = 119,143,970.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.