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Finding the Third Proportional to 2,370,694,880 and 5,271,439,680

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Solution

The third proportional to 2,370,694,880 and 5,271,439,680 is: 11,721,489,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,694,880 : 5,271,439,680 = 5,271,439,680 : x
  2. Step 2: Convert to fraction form
    2,370,694,880/5,271,439,680 = 5,271,439,680/x
  3. Step 3: Cross multiply
    2,370,694,880x = 5,271,439,680 × 5,271,439,680
  4. Step 4: Simplify right side
    2,370,694,880x = 27,788,076,299,878,502,400
  5. Step 5: Solve for x
    x = 27,788,076,299,878,502,400/2,370,694,880
  6. Step 6: Final answer
    x = 11,721,489,987.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.