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Finding the Third Proportional to 2,030,242.22 and 4,514,378.06

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Solution

The third proportional to 2,030,242.22 and 4,514,378.06 is: 10,038,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,242.22 : 4,514,378.06 = 4,514,378.06 : x
  2. Step 2: Convert to fraction form
    2,030,242.22/4,514,378.06 = 4,514,378.06/x
  3. Step 3: Cross multiply
    2,030,242.22x = 4,514,378.06 × 4,514,378.06
  4. Step 4: Simplify right side
    2,030,242.22x = 20,379,609,291,181.25
  5. Step 5: Solve for x
    x = 20,379,609,291,181.25/2,030,242.22
  6. Step 6: Final answer
    x = 10,038,018.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.