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Finding the Third Proportional to 41,573,365,011 and 85,350,655,212

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Solution

The third proportional to 41,573,365,011 and 85,350,655,212 is: 175,225,997,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573,365,011 : 85,350,655,212 = 85,350,655,212 : x
  2. Step 2: Convert to fraction form
    41,573,365,011/85,350,655,212 = 85,350,655,212/x
  3. Step 3: Cross multiply
    41,573,365,011x = 85,350,655,212 × 85,350,655,212
  4. Step 4: Simplify right side
    41,573,365,011x = 7,284,734,345,117,702,291,456
  5. Step 5: Solve for x
    x = 7,284,734,345,117,702,291,456/41,573,365,011
  6. Step 6: Final answer
    x = 175,225,997,298.76

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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.