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Finding the Third Proportional to 4,759,842 and 10,464,465

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Solution

The third proportional to 4,759,842 and 10,464,465 is: 23,006,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759,842 : 10,464,465 = 10,464,465 : x
  2. Step 2: Convert to fraction form
    4,759,842/10,464,465 = 10,464,465/x
  3. Step 3: Cross multiply
    4,759,842x = 10,464,465 × 10,464,465
  4. Step 4: Simplify right side
    4,759,842x = 109,505,027,736,225
  5. Step 5: Solve for x
    x = 109,505,027,736,225/4,759,842
  6. Step 6: Final answer
    x = 23,006,021.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.