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Finding the Third Proportional to 3,647,877,602 and 7,397,261,664

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Solution

The third proportional to 3,647,877,602 and 7,397,261,664 is: 15,000,360,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,877,602 : 7,397,261,664 = 7,397,261,664 : x
  2. Step 2: Convert to fraction form
    3,647,877,602/7,397,261,664 = 7,397,261,664/x
  3. Step 3: Cross multiply
    3,647,877,602x = 7,397,261,664 × 7,397,261,664
  4. Step 4: Simplify right side
    3,647,877,602x = 54,719,480,125,684,047,872
  5. Step 5: Solve for x
    x = 54,719,480,125,684,047,872/3,647,877,602
  6. Step 6: Final answer
    x = 15,000,360,783.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.