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Finding the Third Proportional to 12,350,427,255 and 19,083,457,786.50

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Solution

The third proportional to 12,350,427,255 and 19,083,457,786.50 is: 29,487,106,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350,427,255 : 19,083,457,786.50 = 19,083,457,786.50 : x
  2. Step 2: Convert to fraction form
    12,350,427,255/19,083,457,786.50 = 19,083,457,786.50/x
  3. Step 3: Cross multiply
    12,350,427,255x = 19,083,457,786.50 × 19,083,457,786.50
  4. Step 4: Simplify right side
    12,350,427,255x = 364,178,361,089,127,481,344
  5. Step 5: Solve for x
    x = 364,178,361,089,127,481,344/12,350,427,255
  6. Step 6: Final answer
    x = 29,487,106,281.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.