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Finding the Third Proportional to 13,954,154,103 and 21,448,535,316

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Solution

The third proportional to 13,954,154,103 and 21,448,535,316 is: 32,967,936,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954,154,103 : 21,448,535,316 = 21,448,535,316 : x
  2. Step 2: Convert to fraction form
    13,954,154,103/21,448,535,316 = 21,448,535,316/x
  3. Step 3: Cross multiply
    13,954,154,103x = 21,448,535,316 × 21,448,535,316
  4. Step 4: Simplify right side
    13,954,154,103x = 460,039,667,201,699,217,408
  5. Step 5: Solve for x
    x = 460,039,667,201,699,217,408/13,954,154,103
  6. Step 6: Final answer
    x = 32,967,936,558.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.