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Finding the Third Proportional to 510,168,711,914 and 1,096,048,102,948

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Solution

The third proportional to 510,168,711,914 and 1,096,048,102,948 is: 2,354,753,272,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,168,711,914 : 1,096,048,102,948 = 1,096,048,102,948 : x
  2. Step 2: Convert to fraction form
    510,168,711,914/1,096,048,102,948 = 1,096,048,102,948/x
  3. Step 3: Cross multiply
    510,168,711,914x = 1,096,048,102,948 × 1,096,048,102,948
  4. Step 4: Simplify right side
    510,168,711,914x = 1,201,321,443,975,909,641,027,584
  5. Step 5: Solve for x
    x = 1,201,321,443,975,909,641,027,584/510,168,711,914
  6. Step 6: Final answer
    x = 2,354,753,272,635.85

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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.