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Finding the Third Proportional to 57,723,030 and 120,222,468

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Solution

The third proportional to 57,723,030 and 120,222,468 is: 250,392,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,723,030 : 120,222,468 = 120,222,468 : x
  2. Step 2: Convert to fraction form
    57,723,030/120,222,468 = 120,222,468/x
  3. Step 3: Cross multiply
    57,723,030x = 120,222,468 × 120,222,468
  4. Step 4: Simplify right side
    57,723,030x = 14,453,441,812,011,024
  5. Step 5: Solve for x
    x = 14,453,441,812,011,024/57,723,030
  6. Step 6: Final answer
    x = 250,392,985.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.