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Finding the Third Proportional to 9,830,811.75 and 15,263,807.69

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Solution

The third proportional to 9,830,811.75 and 15,263,807.69 is: 23,699,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,811.75 : 15,263,807.69 = 15,263,807.69 : x
  2. Step 2: Convert to fraction form
    9,830,811.75/15,263,807.69 = 15,263,807.69/x
  3. Step 3: Cross multiply
    9,830,811.75x = 15,263,807.69 × 15,263,807.69
  4. Step 4: Simplify right side
    9,830,811.75x = 232,983,825,120,984.09
  5. Step 5: Solve for x
    x = 232,983,825,120,984.09/9,830,811.75
  6. Step 6: Final answer
    x = 23,699,347.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.