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Finding the Third Proportional to 946,597,526,354.25 and 1,919,535,234,581.60

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Solution

The third proportional to 946,597,526,354.25 and 1,919,535,234,581.60 is: 3,892,483,779,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,597,526,354.25 : 1,919,535,234,581.60 = 1,919,535,234,581.60 : x
  2. Step 2: Convert to fraction form
    946,597,526,354.25/1,919,535,234,581.60 = 1,919,535,234,581.60/x
  3. Step 3: Cross multiply
    946,597,526,354.25x = 1,919,535,234,581.60 × 1,919,535,234,581.60
  4. Step 4: Simplify right side
    946,597,526,354.25x = 3,684,615,516,800,238,443,560,960
  5. Step 5: Solve for x
    x = 3,684,615,516,800,238,443,560,960/946,597,526,354.25
  6. Step 6: Final answer
    x = 3,892,483,779,237.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.