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Finding the Third Proportional to 510,168,711,912 and 1,096,048,102,944

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Solution

The third proportional to 510,168,711,912 and 1,096,048,102,944 is: 2,354,753,272,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,168,711,912 : 1,096,048,102,944 = 1,096,048,102,944 : x
  2. Step 2: Convert to fraction form
    510,168,711,912/1,096,048,102,944 = 1,096,048,102,944/x
  3. Step 3: Cross multiply
    510,168,711,912x = 1,096,048,102,944 × 1,096,048,102,944
  4. Step 4: Simplify right side
    510,168,711,912x = 1,201,321,443,967,141,196,857,344
  5. Step 5: Solve for x
    x = 1,201,321,443,967,141,196,857,344/510,168,711,912
  6. Step 6: Final answer
    x = 2,354,753,272,627.90

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