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Finding the Third Proportional to 35,529,786 and 52,062,828.75

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Solution

The third proportional to 35,529,786 and 52,062,828.75 is: 76,289,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,529,786 : 52,062,828.75 = 52,062,828.75 : x
  2. Step 2: Convert to fraction form
    35,529,786/52,062,828.75 = 52,062,828.75/x
  3. Step 3: Cross multiply
    35,529,786x = 52,062,828.75 × 52,062,828.75
  4. Step 4: Simplify right side
    35,529,786x = 2,710,538,137,451,826.50
  5. Step 5: Solve for x
    x = 2,710,538,137,451,826.50/35,529,786
  6. Step 6: Final answer
    x = 76,289,177.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.