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Finding the Third Proportional to 3,321,772,864 and 4,671,851,280

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Solution

The third proportional to 3,321,772,864 and 4,671,851,280 is: 6,570,646,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321,772,864 : 4,671,851,280 = 4,671,851,280 : x
  2. Step 2: Convert to fraction form
    3,321,772,864/4,671,851,280 = 4,671,851,280/x
  3. Step 3: Cross multiply
    3,321,772,864x = 4,671,851,280 × 4,671,851,280
  4. Step 4: Simplify right side
    3,321,772,864x = 21,826,194,382,437,638,144
  5. Step 5: Solve for x
    x = 21,826,194,382,437,638,144/3,321,772,864
  6. Step 6: Final answer
    x = 6,570,646,241.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.