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Finding the Third Proportional to 14,046,351,064.03 and 20,294,551,527.61

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Solution

The third proportional to 14,046,351,064.03 and 20,294,551,527.61 is: 29,322,122,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046,351,064.03 : 20,294,551,527.61 = 20,294,551,527.61 : x
  2. Step 2: Convert to fraction form
    14,046,351,064.03/20,294,551,527.61 = 20,294,551,527.61/x
  3. Step 3: Cross multiply
    14,046,351,064.03x = 20,294,551,527.61 × 20,294,551,527.61
  4. Step 4: Simplify right side
    14,046,351,064.03x = 411,868,821,706,776,838,144
  5. Step 5: Solve for x
    x = 411,868,821,706,776,838,144/14,046,351,064.03
  6. Step 6: Final answer
    x = 29,322,122,153.24

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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.