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Finding the Third Proportional to 56,861,284 and 81,038,742

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Solution

The third proportional to 56,861,284 and 81,038,742 is: 115,496,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,861,284 : 81,038,742 = 81,038,742 : x
  2. Step 2: Convert to fraction form
    56,861,284/81,038,742 = 81,038,742/x
  3. Step 3: Cross multiply
    56,861,284x = 81,038,742 × 81,038,742
  4. Step 4: Simplify right side
    56,861,284x = 6,567,277,704,942,564
  5. Step 5: Solve for x
    x = 6,567,277,704,942,564/56,861,284
  6. Step 6: Final answer
    x = 115,496,472.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.