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Finding the Third Proportional to 624,463,925,289.75 and 842,548,455,936

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Solution

The third proportional to 624,463,925,289.75 and 842,548,455,936 is: 1,136,795,692,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,463,925,289.75 : 842,548,455,936 = 842,548,455,936 : x
  2. Step 2: Convert to fraction form
    624,463,925,289.75/842,548,455,936 = 842,548,455,936/x
  3. Step 3: Cross multiply
    624,463,925,289.75x = 842,548,455,936 × 842,548,455,936
  4. Step 4: Simplify right side
    624,463,925,289.75x = 709,887,900,600,137,685,139,456
  5. Step 5: Solve for x
    x = 709,887,900,600,137,685,139,456/624,463,925,289.75
  6. Step 6: Final answer
    x = 1,136,795,692,834.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.