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Finding the Third Proportional to 5,290,944 and 7,450,849.50

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Solution

The third proportional to 5,290,944 and 7,450,849.50 is: 10,492,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290,944 : 7,450,849.50 = 7,450,849.50 : x
  2. Step 2: Convert to fraction form
    5,290,944/7,450,849.50 = 7,450,849.50/x
  3. Step 3: Cross multiply
    5,290,944x = 7,450,849.50 × 7,450,849.50
  4. Step 4: Simplify right side
    5,290,944x = 55,515,158,271,650.25
  5. Step 5: Solve for x
    x = 55,515,158,271,650.25/5,290,944
  6. Step 6: Final answer
    x = 10,492,486.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.