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Finding the Third Proportional to 18,447,943,608,272 and 39,672,239,294,200

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Solution

The third proportional to 18,447,943,608,272 and 39,672,239,294,200 is: 85,315,014,184,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,447,943,608,272 : 39,672,239,294,200 = 39,672,239,294,200 : x
  2. Step 2: Convert to fraction form
    18,447,943,608,272/39,672,239,294,200 = 39,672,239,294,200/x
  3. Step 3: Cross multiply
    18,447,943,608,272x = 39,672,239,294,200 × 39,672,239,294,200
  4. Step 4: Simplify right side
    18,447,943,608,272x = 1,573,886,570,616,266,434,185,003,008
  5. Step 5: Solve for x
    x = 1,573,886,570,616,266,434,185,003,008/18,447,943,608,272
  6. Step 6: Final answer
    x = 85,315,014,184,591.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.