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Finding the Third Proportional to 24,783,735 and 53,976,822

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Solution

The third proportional to 24,783,735 and 53,976,822 is: 117,556,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783,735 : 53,976,822 = 53,976,822 : x
  2. Step 2: Convert to fraction form
    24,783,735/53,976,822 = 53,976,822/x
  3. Step 3: Cross multiply
    24,783,735x = 53,976,822 × 53,976,822
  4. Step 4: Simplify right side
    24,783,735x = 2,913,497,313,219,684
  5. Step 5: Solve for x
    x = 2,913,497,313,219,684/24,783,735
  6. Step 6: Final answer
    x = 117,556,829.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.