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Finding the Third Proportional to 523,835,326 and 1,140,672,836

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Solution

The third proportional to 523,835,326 and 1,140,672,836 is: 2,483,861,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,835,326 : 1,140,672,836 = 1,140,672,836 : x
  2. Step 2: Convert to fraction form
    523,835,326/1,140,672,836 = 1,140,672,836/x
  3. Step 3: Cross multiply
    523,835,326x = 1,140,672,836 × 1,140,672,836
  4. Step 4: Simplify right side
    523,835,326x = 1,301,134,518,788,282,880
  5. Step 5: Solve for x
    x = 1,301,134,518,788,282,880/523,835,326
  6. Step 6: Final answer
    x = 2,483,861,729.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.