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Finding the Third Proportional to 6,903,150.19 and 10,805,409.28

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Solution

The third proportional to 6,903,150.19 and 10,805,409.28 is: 16,913,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903,150.19 : 10,805,409.28 = 10,805,409.28 : x
  2. Step 2: Convert to fraction form
    6,903,150.19/10,805,409.28 = 10,805,409.28/x
  3. Step 3: Cross multiply
    6,903,150.19x = 10,805,409.28 × 10,805,409.28
  4. Step 4: Simplify right side
    6,903,150.19x = 116,756,869,735,323.64
  5. Step 5: Solve for x
    x = 116,756,869,735,323.64/6,903,150.19
  6. Step 6: Final answer
    x = 16,913,563.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.