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Finding the Third Proportional to 9,686,409.75 and 14,997,505.50

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Solution

The third proportional to 9,686,409.75 and 14,997,505.50 is: 23,220,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,409.75 : 14,997,505.50 = 14,997,505.50 : x
  2. Step 2: Convert to fraction form
    9,686,409.75/14,997,505.50 = 14,997,505.50/x
  3. Step 3: Cross multiply
    9,686,409.75x = 14,997,505.50 × 14,997,505.50
  4. Step 4: Simplify right side
    9,686,409.75x = 224,925,171,222,530.25
  5. Step 5: Solve for x
    x = 224,925,171,222,530.25/9,686,409.75
  6. Step 6: Final answer
    x = 23,220,695.49

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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.