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Finding the Third Proportional to 348,454,287 and 758,358,873

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Solution

The third proportional to 348,454,287 and 758,358,873 is: 1,650,455,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,454,287 : 758,358,873 = 758,358,873 : x
  2. Step 2: Convert to fraction form
    348,454,287/758,358,873 = 758,358,873/x
  3. Step 3: Cross multiply
    348,454,287x = 758,358,873 × 758,358,873
  4. Step 4: Simplify right side
    348,454,287x = 575,108,180,257,830,144
  5. Step 5: Solve for x
    x = 575,108,180,257,830,144/348,454,287
  6. Step 6: Final answer
    x = 1,650,455,172.21

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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.