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Finding the Third Proportional to 5,114,072 and 11,025,178

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Solution

The third proportional to 5,114,072 and 11,025,178 is: 23,768,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114,072 : 11,025,178 = 11,025,178 : x
  2. Step 2: Convert to fraction form
    5,114,072/11,025,178 = 11,025,178/x
  3. Step 3: Cross multiply
    5,114,072x = 11,025,178 × 11,025,178
  4. Step 4: Simplify right side
    5,114,072x = 121,554,549,931,684
  5. Step 5: Solve for x
    x = 121,554,549,931,684/5,114,072
  6. Step 6: Final answer
    x = 23,768,642.67

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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.