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Finding the Third Proportional to 35,706,874.50 and 50,283,148.50

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Solution

The third proportional to 35,706,874.50 and 50,283,148.50 is: 70,809,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706,874.50 : 50,283,148.50 = 50,283,148.50 : x
  2. Step 2: Convert to fraction form
    35,706,874.50/50,283,148.50 = 50,283,148.50/x
  3. Step 3: Cross multiply
    35,706,874.50x = 50,283,148.50 × 50,283,148.50
  4. Step 4: Simplify right side
    35,706,874.50x = 2,528,395,023,073,052
  5. Step 5: Solve for x
    x = 2,528,395,023,073,052/35,706,874.50
  6. Step 6: Final answer
    x = 70,809,754.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.