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Finding the Third Proportional to 11,518,704 and 24,884,672

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Solution

The third proportional to 11,518,704 and 24,884,672 is: 53,760,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518,704 : 24,884,672 = 24,884,672 : x
  2. Step 2: Convert to fraction form
    11,518,704/24,884,672 = 24,884,672/x
  3. Step 3: Cross multiply
    11,518,704x = 24,884,672 × 24,884,672
  4. Step 4: Simplify right side
    11,518,704x = 619,246,900,547,584
  5. Step 5: Solve for x
    x = 619,246,900,547,584/11,518,704
  6. Step 6: Final answer
    x = 53,760,119.24

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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.