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Finding the Third Proportional to 7,352,865,890,472 and 16,090,856,884,420

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Solution

The third proportional to 7,352,865,890,472 and 16,090,856,884,420 is: 35,212,892,378,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352,865,890,472 : 16,090,856,884,420 = 16,090,856,884,420 : x
  2. Step 2: Convert to fraction form
    7,352,865,890,472/16,090,856,884,420 = 16,090,856,884,420/x
  3. Step 3: Cross multiply
    7,352,865,890,472x = 16,090,856,884,420 × 16,090,856,884,420
  4. Step 4: Simplify right side
    7,352,865,890,472x = 258,915,675,274,886,525,524,901,888
  5. Step 5: Solve for x
    x = 258,915,675,274,886,525,524,901,888/7,352,865,890,472
  6. Step 6: Final answer
    x = 35,212,892,378,520.73

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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.