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Finding the Third Proportional to 5,302,100 and 8,409,140

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Solution

The third proportional to 5,302,100 and 8,409,140 is: 13,336,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302,100 : 8,409,140 = 8,409,140 : x
  2. Step 2: Convert to fraction form
    5,302,100/8,409,140 = 8,409,140/x
  3. Step 3: Cross multiply
    5,302,100x = 8,409,140 × 8,409,140
  4. Step 4: Simplify right side
    5,302,100x = 70,713,635,539,600
  5. Step 5: Solve for x
    x = 70,713,635,539,600/5,302,100
  6. Step 6: Final answer
    x = 13,336,910.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.