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Finding the Third Proportional to 265,400,990,226 and 584,899,153,716

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Solution

The third proportional to 265,400,990,226 and 584,899,153,716 is: 1,289,019,380,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,400,990,226 : 584,899,153,716 = 584,899,153,716 : x
  2. Step 2: Convert to fraction form
    265,400,990,226/584,899,153,716 = 584,899,153,716/x
  3. Step 3: Cross multiply
    265,400,990,226x = 584,899,153,716 × 584,899,153,716
  4. Step 4: Simplify right side
    265,400,990,226x = 342,107,020,017,692,982,640,640
  5. Step 5: Solve for x
    x = 342,107,020,017,692,982,640,640/265,400,990,226
  6. Step 6: Final answer
    x = 1,289,019,380,547.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.