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Finding the Third Proportional to 14,046,347,672.16 and 20,294,546,729.63

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Solution

The third proportional to 14,046,347,672.16 and 20,294,546,729.63 is: 29,322,115,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046,347,672.16 : 20,294,546,729.63 = 20,294,546,729.63 : x
  2. Step 2: Convert to fraction form
    14,046,347,672.16/20,294,546,729.63 = 20,294,546,729.63/x
  3. Step 3: Cross multiply
    14,046,347,672.16x = 20,294,546,729.63 × 20,294,546,729.63
  4. Step 4: Simplify right side
    14,046,347,672.16x = 411,868,626,960,932,798,464
  5. Step 5: Solve for x
    x = 411,868,626,960,932,798,464/14,046,347,672.16
  6. Step 6: Final answer
    x = 29,322,115,369.35

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