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Finding the Third Proportional to 4,170,318,230 and 6,119,142,889

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Solution

The third proportional to 4,170,318,230 and 6,119,142,889 is: 8,978,669,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170,318,230 : 6,119,142,889 = 6,119,142,889 : x
  2. Step 2: Convert to fraction form
    4,170,318,230/6,119,142,889 = 6,119,142,889/x
  3. Step 3: Cross multiply
    4,170,318,230x = 6,119,142,889 × 6,119,142,889
  4. Step 4: Simplify right side
    4,170,318,230x = 37,443,909,695,999,262,720
  5. Step 5: Solve for x
    x = 37,443,909,695,999,262,720/4,170,318,230
  6. Step 6: Final answer
    x = 8,978,669,643.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.