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Finding the Third Proportional to 3,590,280,392.63 and 7,856,890,913.25

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Solution

The third proportional to 3,590,280,392.63 and 7,856,890,913.25 is: 17,193,847,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590,280,392.63 : 7,856,890,913.25 = 7,856,890,913.25 : x
  2. Step 2: Convert to fraction form
    3,590,280,392.63/7,856,890,913.25 = 7,856,890,913.25/x
  3. Step 3: Cross multiply
    3,590,280,392.63x = 7,856,890,913.25 × 7,856,890,913.25
  4. Step 4: Simplify right side
    3,590,280,392.63x = 61,730,734,822,710,419,456
  5. Step 5: Solve for x
    x = 61,730,734,822,710,419,456/3,590,280,392.63
  6. Step 6: Final answer
    x = 17,193,847,853.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.