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Finding the Third Proportional to 14,046,351,068 and 20,294,551,534

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Solution

The third proportional to 14,046,351,068 and 20,294,551,534 is: 29,322,122,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046,351,068 : 20,294,551,534 = 20,294,551,534 : x
  2. Step 2: Convert to fraction form
    14,046,351,068/20,294,551,534 = 20,294,551,534/x
  3. Step 3: Cross multiply
    14,046,351,068x = 20,294,551,534 × 20,294,551,534
  4. Step 4: Simplify right side
    14,046,351,068x = 411,868,821,966,181,761,024
  5. Step 5: Solve for x
    x = 411,868,821,966,181,761,024/14,046,351,068
  6. Step 6: Final answer
    x = 29,322,122,163.42

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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.