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Finding the Third Proportional to 24,648,494 and 53,194,168

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Solution

The third proportional to 24,648,494 and 53,194,168 is: 114,798,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648,494 : 53,194,168 = 53,194,168 : x
  2. Step 2: Convert to fraction form
    24,648,494/53,194,168 = 53,194,168/x
  3. Step 3: Cross multiply
    24,648,494x = 53,194,168 × 53,194,168
  4. Step 4: Simplify right side
    24,648,494x = 2,829,619,509,212,224
  5. Step 5: Solve for x
    x = 2,829,619,509,212,224/24,648,494
  6. Step 6: Final answer
    x = 114,798,880.18

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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.