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Finding the Third Proportional to 280,622,967 and 612,240,942

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Solution

The third proportional to 280,622,967 and 612,240,942 is: 1,335,738,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,622,967 : 612,240,942 = 612,240,942 : x
  2. Step 2: Convert to fraction form
    280,622,967/612,240,942 = 612,240,942/x
  3. Step 3: Cross multiply
    280,622,967x = 612,240,942 × 612,240,942
  4. Step 4: Simplify right side
    280,622,967x = 374,838,971,061,047,360
  5. Step 5: Solve for x
    x = 374,838,971,061,047,360/280,622,967
  6. Step 6: Final answer
    x = 1,335,738,749.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.