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Finding the Third Proportional to 7,483,602 and 12,052,347

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Solution

The third proportional to 7,483,602 and 12,052,347 is: 19,410,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483,602 : 12,052,347 = 12,052,347 : x
  2. Step 2: Convert to fraction form
    7,483,602/12,052,347 = 12,052,347/x
  3. Step 3: Cross multiply
    7,483,602x = 12,052,347 × 12,052,347
  4. Step 4: Simplify right side
    7,483,602x = 145,259,068,208,409
  5. Step 5: Solve for x
    x = 145,259,068,208,409/7,483,602
  6. Step 6: Final answer
    x = 19,410,314.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.