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Finding the Third Proportional to 13,519,423,106 and 19,874,151,704

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Solution

The third proportional to 13,519,423,106 and 19,874,151,704 is: 29,215,884,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519,423,106 : 19,874,151,704 = 19,874,151,704 : x
  2. Step 2: Convert to fraction form
    13,519,423,106/19,874,151,704 = 19,874,151,704/x
  3. Step 3: Cross multiply
    13,519,423,106x = 19,874,151,704 × 19,874,151,704
  4. Step 4: Simplify right side
    13,519,423,106x = 394,981,905,953,606,074,368
  5. Step 5: Solve for x
    x = 394,981,905,953,606,074,368/13,519,423,106
  6. Step 6: Final answer
    x = 29,215,884,646.61

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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.