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Finding the Third Proportional to 7,649,852.63 and 16,532,812.55

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Solution

The third proportional to 7,649,852.63 and 16,532,812.55 is: 35,730,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,852.63 : 16,532,812.55 = 16,532,812.55 : x
  2. Step 2: Convert to fraction form
    7,649,852.63/16,532,812.55 = 16,532,812.55/x
  3. Step 3: Cross multiply
    7,649,852.63x = 16,532,812.55 × 16,532,812.55
  4. Step 4: Simplify right side
    7,649,852.63x = 273,333,890,710,107.44
  5. Step 5: Solve for x
    x = 273,333,890,710,107.44/7,649,852.63
  6. Step 6: Final answer
    x = 35,730,608.69

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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.