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Finding the Third Proportional to 7,466,065,465.50 and 15,997,063,161

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Solution

The third proportional to 7,466,065,465.50 and 15,997,063,161 is: 34,275,888,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466,065,465.50 : 15,997,063,161 = 15,997,063,161 : x
  2. Step 2: Convert to fraction form
    7,466,065,465.50/15,997,063,161 = 15,997,063,161/x
  3. Step 3: Cross multiply
    7,466,065,465.50x = 15,997,063,161 × 15,997,063,161
  4. Step 4: Simplify right side
    7,466,065,465.50x = 255,906,029,777,023,303,680
  5. Step 5: Solve for x
    x = 255,906,029,777,023,303,680/7,466,065,465.50
  6. Step 6: Final answer
    x = 34,275,888,814.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.