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Finding the Third Proportional to 9,238,152,996 and 13,347,538,614

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Solution

The third proportional to 9,238,152,996 and 13,347,538,614 is: 19,284,892,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238,152,996 : 13,347,538,614 = 13,347,538,614 : x
  2. Step 2: Convert to fraction form
    9,238,152,996/13,347,538,614 = 13,347,538,614/x
  3. Step 3: Cross multiply
    9,238,152,996x = 13,347,538,614 × 13,347,538,614
  4. Step 4: Simplify right side
    9,238,152,996x = 178,156,787,052,221,038,592
  5. Step 5: Solve for x
    x = 178,156,787,052,221,038,592/9,238,152,996
  6. Step 6: Final answer
    x = 19,284,892,459.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.