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Finding the Third Proportional to 3,140,370 and 6,802,429.50

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Solution

The third proportional to 3,140,370 and 6,802,429.50 is: 14,734,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,370 : 6,802,429.50 = 6,802,429.50 : x
  2. Step 2: Convert to fraction form
    3,140,370/6,802,429.50 = 6,802,429.50/x
  3. Step 3: Cross multiply
    3,140,370x = 6,802,429.50 × 6,802,429.50
  4. Step 4: Simplify right side
    3,140,370x = 46,273,047,102,470.25
  5. Step 5: Solve for x
    x = 46,273,047,102,470.25/3,140,370
  6. Step 6: Final answer
    x = 14,734,902.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.