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Finding the Third Proportional to 7,225,817.63 and 10,567,416.94

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Solution

The third proportional to 7,225,817.63 and 10,567,416.94 is: 15,454,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225,817.63 : 10,567,416.94 = 10,567,416.94 : x
  2. Step 2: Convert to fraction form
    7,225,817.63/10,567,416.94 = 10,567,416.94/x
  3. Step 3: Cross multiply
    7,225,817.63x = 10,567,416.94 × 10,567,416.94
  4. Step 4: Simplify right side
    7,225,817.63x = 111,670,300,730,961.88
  5. Step 5: Solve for x
    x = 111,670,300,730,961.88/7,225,817.63
  6. Step 6: Final answer
    x = 15,454,348.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.