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Finding the Third Proportional to 3,427,824,302 and 6,952,031,220.50

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Solution

The third proportional to 3,427,824,302 and 6,952,031,220.50 is: 14,099,537,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,824,302 : 6,952,031,220.50 = 6,952,031,220.50 : x
  2. Step 2: Convert to fraction form
    3,427,824,302/6,952,031,220.50 = 6,952,031,220.50/x
  3. Step 3: Cross multiply
    3,427,824,302x = 6,952,031,220.50 × 6,952,031,220.50
  4. Step 4: Simplify right side
    3,427,824,302x = 48,330,738,090,806,722,560
  5. Step 5: Solve for x
    x = 48,330,738,090,806,722,560/3,427,824,302
  6. Step 6: Final answer
    x = 14,099,537,733.78

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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.