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Finding the Third Proportional to 6,509,416.50 and 13,915,601.63

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Solution

The third proportional to 6,509,416.50 and 13,915,601.63 is: 29,748,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,416.50 : 13,915,601.63 = 13,915,601.63 : x
  2. Step 2: Convert to fraction form
    6,509,416.50/13,915,601.63 = 13,915,601.63/x
  3. Step 3: Cross multiply
    6,509,416.50x = 13,915,601.63 × 13,915,601.63
  4. Step 4: Simplify right side
    6,509,416.50x = 193,643,968,585,702.62
  5. Step 5: Solve for x
    x = 193,643,968,585,702.62/6,509,416.50
  6. Step 6: Final answer
    x = 29,748,283.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.