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Finding the Third Proportional to 3,007,653.75 and 6,494,707.69

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Solution

The third proportional to 3,007,653.75 and 6,494,707.69 is: 14,024,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,653.75 : 6,494,707.69 = 6,494,707.69 : x
  2. Step 2: Convert to fraction form
    3,007,653.75/6,494,707.69 = 6,494,707.69/x
  3. Step 3: Cross multiply
    3,007,653.75x = 6,494,707.69 × 6,494,707.69
  4. Step 4: Simplify right side
    3,007,653.75x = 42,181,227,946,071.59
  5. Step 5: Solve for x
    x = 42,181,227,946,071.59/3,007,653.75
  6. Step 6: Final answer
    x = 14,024,628.98

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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.