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Finding the Third Proportional to 14,348,494,617 and 20,197,037,434.50

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Solution

The third proportional to 14,348,494,617 and 20,197,037,434.50 is: 28,429,485,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348,494,617 : 20,197,037,434.50 = 20,197,037,434.50 : x
  2. Step 2: Convert to fraction form
    14,348,494,617/20,197,037,434.50 = 20,197,037,434.50/x
  3. Step 3: Cross multiply
    14,348,494,617x = 20,197,037,434.50 × 20,197,037,434.50
  4. Step 4: Simplify right side
    14,348,494,617x = 407,920,321,130,594,369,536
  5. Step 5: Solve for x
    x = 407,920,321,130,594,369,536/14,348,494,617
  6. Step 6: Final answer
    x = 28,429,485,602.43

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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.