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Finding the Third Proportional to 41,573,365,952 and 85,350,662,280

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Solution

The third proportional to 41,573,365,952 and 85,350,662,280 is: 175,226,022,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573,365,952 : 85,350,662,280 = 85,350,662,280 : x
  2. Step 2: Convert to fraction form
    41,573,365,952/85,350,662,280 = 85,350,662,280/x
  3. Step 3: Cross multiply
    41,573,365,952x = 85,350,662,280 × 85,350,662,280
  4. Step 4: Simplify right side
    41,573,365,952x = 7,284,735,551,634,615,042,048
  5. Step 5: Solve for x
    x = 7,284,735,551,634,615,042,048/41,573,365,952
  6. Step 6: Final answer
    x = 175,226,022,353.96

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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.