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Finding the Third Proportional to 5,302,101 and 8,409,141

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Solution

The third proportional to 5,302,101 and 8,409,141 is: 13,336,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302,101 : 8,409,141 = 8,409,141 : x
  2. Step 2: Convert to fraction form
    5,302,101/8,409,141 = 8,409,141/x
  3. Step 3: Cross multiply
    5,302,101x = 8,409,141 × 8,409,141
  4. Step 4: Simplify right side
    5,302,101x = 70,713,652,357,881
  5. Step 5: Solve for x
    x = 70,713,652,357,881/5,302,101
  6. Step 6: Final answer
    x = 13,336,911.61

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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.