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Finding the Third Proportional to 3,194,430 and 6,927,840

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Solution

The third proportional to 3,194,430 and 6,927,840 is: 15,024,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,430 : 6,927,840 = 6,927,840 : x
  2. Step 2: Convert to fraction form
    3,194,430/6,927,840 = 6,927,840/x
  3. Step 3: Cross multiply
    3,194,430x = 6,927,840 × 6,927,840
  4. Step 4: Simplify right side
    3,194,430x = 47,994,967,065,600
  5. Step 5: Solve for x
    x = 47,994,967,065,600/3,194,430
  6. Step 6: Final answer
    x = 15,024,579.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.