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Finding the Third Proportional to 9,416,704,244 and 20,185,414,008

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Solution

The third proportional to 9,416,704,244 and 20,185,414,008 is: 43,268,953,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416,704,244 : 20,185,414,008 = 20,185,414,008 : x
  2. Step 2: Convert to fraction form
    9,416,704,244/20,185,414,008 = 20,185,414,008/x
  3. Step 3: Cross multiply
    9,416,704,244x = 20,185,414,008 × 20,185,414,008
  4. Step 4: Simplify right side
    9,416,704,244x = 407,450,938,674,362,646,528
  5. Step 5: Solve for x
    x = 407,450,938,674,362,646,528/9,416,704,244
  6. Step 6: Final answer
    x = 43,268,953,565.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.