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Finding the Third Proportional to 6,320,894 and 13,872,121

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Solution

The third proportional to 6,320,894 and 13,872,121 is: 30,444,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320,894 : 13,872,121 = 13,872,121 : x
  2. Step 2: Convert to fraction form
    6,320,894/13,872,121 = 13,872,121/x
  3. Step 3: Cross multiply
    6,320,894x = 13,872,121 × 13,872,121
  4. Step 4: Simplify right side
    6,320,894x = 192,435,741,038,641
  5. Step 5: Solve for x
    x = 192,435,741,038,641/6,320,894
  6. Step 6: Final answer
    x = 30,444,386.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.