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Finding the Third Proportional to 435,336,111 and 947,198,367

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Solution

The third proportional to 435,336,111 and 947,198,367 is: 2,060,901,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,336,111 : 947,198,367 = 947,198,367 : x
  2. Step 2: Convert to fraction form
    435,336,111/947,198,367 = 947,198,367/x
  3. Step 3: Cross multiply
    435,336,111x = 947,198,367 × 947,198,367
  4. Step 4: Simplify right side
    435,336,111x = 897,184,746,447,466,752
  5. Step 5: Solve for x
    x = 897,184,746,447,466,752/435,336,111
  6. Step 6: Final answer
    x = 2,060,901,275.54

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Why These Related Problems?

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