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Finding the Third Proportional to 24,784,019 and 53,685,430

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Solution

The third proportional to 24,784,019 and 53,685,430 is: 116,289,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784,019 : 53,685,430 = 53,685,430 : x
  2. Step 2: Convert to fraction form
    24,784,019/53,685,430 = 53,685,430/x
  3. Step 3: Cross multiply
    24,784,019x = 53,685,430 × 53,685,430
  4. Step 4: Simplify right side
    24,784,019x = 2,882,125,394,284,900
  5. Step 5: Solve for x
    x = 2,882,125,394,284,900/24,784,019
  6. Step 6: Final answer
    x = 116,289,670.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.