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Finding the Third Proportional to 6,707,580 and 14,477,496

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Solution

The third proportional to 6,707,580 and 14,477,496 is: 31,247,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707,580 : 14,477,496 = 14,477,496 : x
  2. Step 2: Convert to fraction form
    6,707,580/14,477,496 = 14,477,496/x
  3. Step 3: Cross multiply
    6,707,580x = 14,477,496 × 14,477,496
  4. Step 4: Simplify right side
    6,707,580x = 209,597,890,430,016
  5. Step 5: Solve for x
    x = 209,597,890,430,016/6,707,580
  6. Step 6: Final answer
    x = 31,247,915.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.