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Finding the Third Proportional to 3,074,988,192 and 4,592,332,128

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Solution

The third proportional to 3,074,988,192 and 4,592,332,128 is: 6,858,404,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,988,192 : 4,592,332,128 = 4,592,332,128 : x
  2. Step 2: Convert to fraction form
    3,074,988,192/4,592,332,128 = 4,592,332,128/x
  3. Step 3: Cross multiply
    3,074,988,192x = 4,592,332,128 × 4,592,332,128
  4. Step 4: Simplify right side
    3,074,988,192x = 21,089,514,373,861,007,360
  5. Step 5: Solve for x
    x = 21,089,514,373,861,007,360/3,074,988,192
  6. Step 6: Final answer
    x = 6,858,404,994.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.