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Finding the Third Proportional to 62,923,940,716 and 134,823,113,432

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Solution

The third proportional to 62,923,940,716 and 134,823,113,432 is: 288,876,883,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,923,940,716 : 134,823,113,432 = 134,823,113,432 : x
  2. Step 2: Convert to fraction form
    62,923,940,716/134,823,113,432 = 134,823,113,432/x
  3. Step 3: Cross multiply
    62,923,940,716x = 134,823,113,432 × 134,823,113,432
  4. Step 4: Simplify right side
    62,923,940,716x = 18,177,271,915,497,939,533,824
  5. Step 5: Solve for x
    x = 18,177,271,915,497,939,533,824/62,923,940,716
  6. Step 6: Final answer
    x = 288,876,883,880.16

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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.