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Finding the Third Proportional to 960,359,276 and 2,223,093,308

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Solution

The third proportional to 960,359,276 and 2,223,093,308 is: 5,146,140,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,359,276 : 2,223,093,308 = 2,223,093,308 : x
  2. Step 2: Convert to fraction form
    960,359,276/2,223,093,308 = 2,223,093,308/x
  3. Step 3: Cross multiply
    960,359,276x = 2,223,093,308 × 2,223,093,308
  4. Step 4: Simplify right side
    960,359,276x = 4,942,143,856,074,383,360
  5. Step 5: Solve for x
    x = 4,942,143,856,074,383,360/960,359,276
  6. Step 6: Final answer
    x = 5,146,140,595.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.