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Finding the Third Proportional to 4,360,419,742 and 9,565,026,128

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Solution

The third proportional to 4,360,419,742 and 9,565,026,128 is: 20,981,861,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360,419,742 : 9,565,026,128 = 9,565,026,128 : x
  2. Step 2: Convert to fraction form
    4,360,419,742/9,565,026,128 = 9,565,026,128/x
  3. Step 3: Cross multiply
    4,360,419,742x = 9,565,026,128 × 9,565,026,128
  4. Step 4: Simplify right side
    4,360,419,742x = 91,489,724,829,322,674,176
  5. Step 5: Solve for x
    x = 91,489,724,829,322,674,176/4,360,419,742
  6. Step 6: Final answer
    x = 20,981,861,894.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.