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Finding the Third Proportional to 4,611,819 and 6,798,496.50

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Solution

The third proportional to 4,611,819 and 6,798,496.50 is: 10,021,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,819 : 6,798,496.50 = 6,798,496.50 : x
  2. Step 2: Convert to fraction form
    4,611,819/6,798,496.50 = 6,798,496.50/x
  3. Step 3: Cross multiply
    4,611,819x = 6,798,496.50 × 6,798,496.50
  4. Step 4: Simplify right side
    4,611,819x = 46,219,554,660,512.25
  5. Step 5: Solve for x
    x = 46,219,554,660,512.25/4,611,819
  6. Step 6: Final answer
    x = 10,021,979.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.