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Finding the Third Proportional to 7,011,307.69 and 10,770,225.75

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Solution

The third proportional to 7,011,307.69 and 10,770,225.75 is: 16,544,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011,307.69 : 10,770,225.75 = 10,770,225.75 : x
  2. Step 2: Convert to fraction form
    7,011,307.69/10,770,225.75 = 10,770,225.75/x
  3. Step 3: Cross multiply
    7,011,307.69x = 10,770,225.75 × 10,770,225.75
  4. Step 4: Simplify right side
    7,011,307.69x = 115,997,762,705,963.06
  5. Step 5: Solve for x
    x = 115,997,762,705,963.06/7,011,307.69
  6. Step 6: Final answer
    x = 16,544,383.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.