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Finding the Third Proportional to 53,704,015 and 82,594,738.50

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Solution

The third proportional to 53,704,015 and 82,594,738.50 is: 127,027,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,704,015 : 82,594,738.50 = 82,594,738.50 : x
  2. Step 2: Convert to fraction form
    53,704,015/82,594,738.50 = 82,594,738.50/x
  3. Step 3: Cross multiply
    53,704,015x = 82,594,738.50 × 82,594,738.50
  4. Step 4: Simplify right side
    53,704,015x = 6,821,890,827,883,382
  5. Step 5: Solve for x
    x = 6,821,890,827,883,382/53,704,015
  6. Step 6: Final answer
    x = 127,027,575.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.