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Finding the Third Proportional to 43,664,698,454 and 65,322,498,534

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Solution

The third proportional to 43,664,698,454 and 65,322,498,534 is: 97,722,621,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664,698,454 : 65,322,498,534 = 65,322,498,534 : x
  2. Step 2: Convert to fraction form
    43,664,698,454/65,322,498,534 = 65,322,498,534/x
  3. Step 3: Cross multiply
    43,664,698,454x = 65,322,498,534 × 65,322,498,534
  4. Step 4: Simplify right side
    43,664,698,454x = 4,267,028,814,724,432,134,144
  5. Step 5: Solve for x
    x = 4,267,028,814,724,432,134,144/43,664,698,454
  6. Step 6: Final answer
    x = 97,722,621,838.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.