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Finding the Third Proportional to 10,982,925 and 22,874,887.50

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Solution

The third proportional to 10,982,925 and 22,874,887.50 is: 47,643,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982,925 : 22,874,887.50 = 22,874,887.50 : x
  2. Step 2: Convert to fraction form
    10,982,925/22,874,887.50 = 22,874,887.50/x
  3. Step 3: Cross multiply
    10,982,925x = 22,874,887.50 × 22,874,887.50
  4. Step 4: Simplify right side
    10,982,925x = 523,260,478,137,656.25
  5. Step 5: Solve for x
    x = 523,260,478,137,656.25/10,982,925
  6. Step 6: Final answer
    x = 47,643,089.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.