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Finding the Third Proportional to 908,532,733 and 1,972,122,717.50

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Solution

The third proportional to 908,532,733 and 1,972,122,717.50 is: 4,280,823,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,532,733 : 1,972,122,717.50 = 1,972,122,717.50 : x
  2. Step 2: Convert to fraction form
    908,532,733/1,972,122,717.50 = 1,972,122,717.50/x
  3. Step 3: Cross multiply
    908,532,733x = 1,972,122,717.50 × 1,972,122,717.50
  4. Step 4: Simplify right side
    908,532,733x = 3,889,268,012,879,584,768
  5. Step 5: Solve for x
    x = 3,889,268,012,879,584,768/908,532,733
  6. Step 6: Final answer
    x = 4,280,823,212.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.