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Finding the Third Proportional to 49,313,654 and 78,536,936

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Solution

The third proportional to 49,313,654 and 78,536,936 is: 125,077,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313,654 : 78,536,936 = 78,536,936 : x
  2. Step 2: Convert to fraction form
    49,313,654/78,536,936 = 78,536,936/x
  3. Step 3: Cross multiply
    49,313,654x = 78,536,936 × 78,536,936
  4. Step 4: Simplify right side
    49,313,654x = 6,168,050,316,268,096
  5. Step 5: Solve for x
    x = 6,168,050,316,268,096/49,313,654
  6. Step 6: Final answer
    x = 125,077,941.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.