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Finding the Third Proportional to 49,276,737 and 114,072,457.50

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Solution

The third proportional to 49,276,737 and 114,072,457.50 is: 264,070,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,276,737 : 114,072,457.50 = 114,072,457.50 : x
  2. Step 2: Convert to fraction form
    49,276,737/114,072,457.50 = 114,072,457.50/x
  3. Step 3: Cross multiply
    49,276,737x = 114,072,457.50 × 114,072,457.50
  4. Step 4: Simplify right side
    49,276,737x = 13,012,525,560,089,306
  5. Step 5: Solve for x
    x = 13,012,525,560,089,306/49,276,737
  6. Step 6: Final answer
    x = 264,070,357.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.