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Finding the Third Proportional to 9,483,290 and 13,551,416

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Solution

The third proportional to 9,483,290 and 13,551,416 is: 19,364,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483,290 : 13,551,416 = 13,551,416 : x
  2. Step 2: Convert to fraction form
    9,483,290/13,551,416 = 13,551,416/x
  3. Step 3: Cross multiply
    9,483,290x = 13,551,416 × 13,551,416
  4. Step 4: Simplify right side
    9,483,290x = 183,640,875,605,056
  5. Step 5: Solve for x
    x = 183,640,875,605,056/9,483,290
  6. Step 6: Final answer
    x = 19,364,679.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.