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Finding the Third Proportional to 7,782,726,209,756 and 16,736,725,952,271

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Solution

The third proportional to 7,782,726,209,756 and 16,736,725,952,271 is: 35,992,271,609,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,726,209,756 : 16,736,725,952,271 = 16,736,725,952,271 : x
  2. Step 2: Convert to fraction form
    7,782,726,209,756/16,736,725,952,271 = 16,736,725,952,271/x
  3. Step 3: Cross multiply
    7,782,726,209,756x = 16,736,725,952,271 × 16,736,725,952,271
  4. Step 4: Simplify right side
    7,782,726,209,756x = 280,117,995,601,421,614,276,673,536
  5. Step 5: Solve for x
    x = 280,117,995,601,421,614,276,673,536/7,782,726,209,756
  6. Step 6: Final answer
    x = 35,992,271,609,179.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.