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Finding the Third Proportional to 5,302,102 and 8,409,143

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Solution

The third proportional to 5,302,102 and 8,409,143 is: 13,336,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302,102 : 8,409,143 = 8,409,143 : x
  2. Step 2: Convert to fraction form
    5,302,102/8,409,143 = 8,409,143/x
  3. Step 3: Cross multiply
    5,302,102x = 8,409,143 × 8,409,143
  4. Step 4: Simplify right side
    5,302,102x = 70,713,685,994,449
  5. Step 5: Solve for x
    x = 70,713,685,994,449/5,302,102
  6. Step 6: Final answer
    x = 13,336,915.43

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