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Finding the Third Proportional to 13,837,447,568 and 20,665,495,659

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Solution

The third proportional to 13,837,447,568 and 20,665,495,659 is: 30,862,824,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837,447,568 : 20,665,495,659 = 20,665,495,659 : x
  2. Step 2: Convert to fraction form
    13,837,447,568/20,665,495,659 = 20,665,495,659/x
  3. Step 3: Cross multiply
    13,837,447,568x = 20,665,495,659 × 20,665,495,659
  4. Step 4: Simplify right side
    13,837,447,568x = 427,062,710,832,147,857,408
  5. Step 5: Solve for x
    x = 427,062,710,832,147,857,408/13,837,447,568
  6. Step 6: Final answer
    x = 30,862,824,139.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.