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Finding the Third Proportional to 14,783,489,151,903 and 21,732,384,868,402

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Solution

The third proportional to 14,783,489,151,903 and 21,732,384,868,402 is: 31,947,569,833,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783,489,151,903 : 21,732,384,868,402 = 21,732,384,868,402 : x
  2. Step 2: Convert to fraction form
    14,783,489,151,903/21,732,384,868,402 = 21,732,384,868,402/x
  3. Step 3: Cross multiply
    14,783,489,151,903x = 21,732,384,868,402 × 21,732,384,868,402
  4. Step 4: Simplify right side
    14,783,489,151,903x = 472,296,552,068,348,206,062,239,744
  5. Step 5: Solve for x
    x = 472,296,552,068,348,206,062,239,744/14,783,489,151,903
  6. Step 6: Final answer
    x = 31,947,569,833,847.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.