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Finding the Third Proportional to 41,573,365,009 and 85,350,655,208

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Solution

The third proportional to 41,573,365,009 and 85,350,655,208 is: 175,225,997,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573,365,009 : 85,350,655,208 = 85,350,655,208 : x
  2. Step 2: Convert to fraction form
    41,573,365,009/85,350,655,208 = 85,350,655,208/x
  3. Step 3: Cross multiply
    41,573,365,009x = 85,350,655,208 × 85,350,655,208
  4. Step 4: Simplify right side
    41,573,365,009x = 7,284,734,344,434,897,911,808
  5. Step 5: Solve for x
    x = 7,284,734,344,434,897,911,808/41,573,365,009
  6. Step 6: Final answer
    x = 175,225,997,290.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.