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Finding the Third Proportional to 53,472,177 and 77,954,953.50

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Solution

The third proportional to 53,472,177 and 77,954,953.50 is: 113,647,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,472,177 : 77,954,953.50 = 77,954,953.50 : x
  2. Step 2: Convert to fraction form
    53,472,177/77,954,953.50 = 77,954,953.50/x
  3. Step 3: Cross multiply
    53,472,177x = 77,954,953.50 × 77,954,953.50
  4. Step 4: Simplify right side
    53,472,177x = 6,076,974,775,187,162
  5. Step 5: Solve for x
    x = 6,076,974,775,187,162/53,472,177
  6. Step 6: Final answer
    x = 113,647,416.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.