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Finding the Third Proportional to 4,943,724.75 and 10,830,015

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Solution

The third proportional to 4,943,724.75 and 10,830,015 is: 23,724,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943,724.75 : 10,830,015 = 10,830,015 : x
  2. Step 2: Convert to fraction form
    4,943,724.75/10,830,015 = 10,830,015/x
  3. Step 3: Cross multiply
    4,943,724.75x = 10,830,015 × 10,830,015
  4. Step 4: Simplify right side
    4,943,724.75x = 117,289,224,900,225
  5. Step 5: Solve for x
    x = 117,289,224,900,225/4,943,724.75
  6. Step 6: Final answer
    x = 23,724,869.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.