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Finding the Third Proportional to 11,259,912 and 24,604,069.50

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Solution

The third proportional to 11,259,912 and 24,604,069.50 is: 53,762,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259,912 : 24,604,069.50 = 24,604,069.50 : x
  2. Step 2: Convert to fraction form
    11,259,912/24,604,069.50 = 24,604,069.50/x
  3. Step 3: Cross multiply
    11,259,912x = 24,604,069.50 × 24,604,069.50
  4. Step 4: Simplify right side
    11,259,912x = 605,360,235,960,830.25
  5. Step 5: Solve for x
    x = 605,360,235,960,830.25/11,259,912
  6. Step 6: Final answer
    x = 53,762,430.47

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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.