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Finding the Third Proportional to 2,725,842,605 and 5,929,280,920

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Solution

The third proportional to 2,725,842,605 and 5,929,280,920 is: 12,897,432,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,842,605 : 5,929,280,920 = 5,929,280,920 : x
  2. Step 2: Convert to fraction form
    2,725,842,605/5,929,280,920 = 5,929,280,920/x
  3. Step 3: Cross multiply
    2,725,842,605x = 5,929,280,920 × 5,929,280,920
  4. Step 4: Simplify right side
    2,725,842,605x = 35,156,372,228,276,047,872
  5. Step 5: Solve for x
    x = 35,156,372,228,276,047,872/2,725,842,605
  6. Step 6: Final answer
    x = 12,897,432,949.28

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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.