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Finding the Third Proportional to 24,780,096 and 53,147,352

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Solution

The third proportional to 24,780,096 and 53,147,352 is: 113,988,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780,096 : 53,147,352 = 53,147,352 : x
  2. Step 2: Convert to fraction form
    24,780,096/53,147,352 = 53,147,352/x
  3. Step 3: Cross multiply
    24,780,096x = 53,147,352 × 53,147,352
  4. Step 4: Simplify right side
    24,780,096x = 2,824,641,024,611,904
  5. Step 5: Solve for x
    x = 2,824,641,024,611,904/24,780,096
  6. Step 6: Final answer
    x = 113,988,300.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.