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Finding the Third Proportional to 13,181,378,004 and 19,894,649,176

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Solution

The third proportional to 13,181,378,004 and 19,894,649,176 is: 30,026,986,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181,378,004 : 19,894,649,176 = 19,894,649,176 : x
  2. Step 2: Convert to fraction form
    13,181,378,004/19,894,649,176 = 19,894,649,176/x
  3. Step 3: Cross multiply
    13,181,378,004x = 19,894,649,176 × 19,894,649,176
  4. Step 4: Simplify right side
    13,181,378,004x = 395,797,065,836,117,491,712
  5. Step 5: Solve for x
    x = 395,797,065,836,117,491,712/13,181,378,004
  6. Step 6: Final answer
    x = 30,026,986,989.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.