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Finding the Third Proportional to 11,459,904 and 24,809,376

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Solution

The third proportional to 11,459,904 and 24,809,376 is: 53,709,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459,904 : 24,809,376 = 24,809,376 : x
  2. Step 2: Convert to fraction form
    11,459,904/24,809,376 = 24,809,376/x
  3. Step 3: Cross multiply
    11,459,904x = 24,809,376 × 24,809,376
  4. Step 4: Simplify right side
    11,459,904x = 615,505,137,509,376
  5. Step 5: Solve for x
    x = 615,505,137,509,376/11,459,904
  6. Step 6: Final answer
    x = 53,709,449.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.