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Finding the Third Proportional to 14,348,494,614 and 20,197,037,430

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Solution

The third proportional to 14,348,494,614 and 20,197,037,430 is: 28,429,485,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348,494,614 : 20,197,037,430 = 20,197,037,430 : x
  2. Step 2: Convert to fraction form
    14,348,494,614/20,197,037,430 = 20,197,037,430/x
  3. Step 3: Cross multiply
    14,348,494,614x = 20,197,037,430 × 20,197,037,430
  4. Step 4: Simplify right side
    14,348,494,614x = 407,920,320,948,821,032,960
  5. Step 5: Solve for x
    x = 407,920,320,948,821,032,960/14,348,494,614
  6. Step 6: Final answer
    x = 28,429,485,595.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.