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Finding the Third Proportional to 4,143,114,078 and 8,877,190,548

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Solution

The third proportional to 4,143,114,078 and 8,877,190,548 is: 19,020,599,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143,114,078 : 8,877,190,548 = 8,877,190,548 : x
  2. Step 2: Convert to fraction form
    4,143,114,078/8,877,190,548 = 8,877,190,548/x
  3. Step 3: Cross multiply
    4,143,114,078x = 8,877,190,548 × 8,877,190,548
  4. Step 4: Simplify right side
    4,143,114,078x = 78,804,512,025,500,532,736
  5. Step 5: Solve for x
    x = 78,804,512,025,500,532,736/4,143,114,078
  6. Step 6: Final answer
    x = 19,020,599,129.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.