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Finding the Third Proportional to 56,643,009.75 and 87,466,716.42

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Solution

The third proportional to 56,643,009.75 and 87,466,716.42 is: 135,063,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,643,009.75 : 87,466,716.42 = 87,466,716.42 : x
  2. Step 2: Convert to fraction form
    56,643,009.75/87,466,716.42 = 87,466,716.42/x
  3. Step 3: Cross multiply
    56,643,009.75x = 87,466,716.42 × 87,466,716.42
  4. Step 4: Simplify right side
    56,643,009.75x = 7,650,426,481,624,698
  5. Step 5: Solve for x
    x = 7,650,426,481,624,698/56,643,009.75
  6. Step 6: Final answer
    x = 135,063,911.95

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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.