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Finding the Third Proportional to 1,480,370,246 and 3,251,270,282

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Solution

The third proportional to 1,480,370,246 and 3,251,270,282 is: 7,140,618,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,370,246 : 3,251,270,282 = 3,251,270,282 : x
  2. Step 2: Convert to fraction form
    1,480,370,246/3,251,270,282 = 3,251,270,282/x
  3. Step 3: Cross multiply
    1,480,370,246x = 3,251,270,282 × 3,251,270,282
  4. Step 4: Simplify right side
    1,480,370,246x = 10,570,758,446,616,358,912
  5. Step 5: Solve for x
    x = 10,570,758,446,616,358,912/1,480,370,246
  6. Step 6: Final answer
    x = 7,140,618,014.43

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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.