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Finding the Third Proportional to 4,170,318,232 and 6,119,142,892

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Solution

The third proportional to 4,170,318,232 and 6,119,142,892 is: 8,978,669,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170,318,232 : 6,119,142,892 = 6,119,142,892 : x
  2. Step 2: Convert to fraction form
    4,170,318,232/6,119,142,892 = 6,119,142,892/x
  3. Step 3: Cross multiply
    4,170,318,232x = 6,119,142,892 × 6,119,142,892
  4. Step 4: Simplify right side
    4,170,318,232x = 37,443,909,732,714,127,360
  5. Step 5: Solve for x
    x = 37,443,909,732,714,127,360/4,170,318,232
  6. Step 6: Final answer
    x = 8,978,669,648.13

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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.