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Finding the Third Proportional to 528,027,738 and 1,099,509,925.50

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Solution

The third proportional to 528,027,738 and 1,099,509,925.50 is: 2,289,504,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,027,738 : 1,099,509,925.50 = 1,099,509,925.50 : x
  2. Step 2: Convert to fraction form
    528,027,738/1,099,509,925.50 = 1,099,509,925.50/x
  3. Step 3: Cross multiply
    528,027,738x = 1,099,509,925.50 × 1,099,509,925.50
  4. Step 4: Simplify right side
    528,027,738x = 1,208,922,076,273,015,552
  5. Step 5: Solve for x
    x = 1,208,922,076,273,015,552/528,027,738
  6. Step 6: Final answer
    x = 2,289,504,867.40

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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.