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Finding the Third Proportional to 13,419,973,408 and 20,013,583,686

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Solution

The third proportional to 13,419,973,408 and 20,013,583,686 is: 29,846,820,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419,973,408 : 20,013,583,686 = 20,013,583,686 : x
  2. Step 2: Convert to fraction form
    13,419,973,408/20,013,583,686 = 20,013,583,686/x
  3. Step 3: Cross multiply
    13,419,973,408x = 20,013,583,686 × 20,013,583,686
  4. Step 4: Simplify right side
    13,419,973,408x = 400,543,531,956,525,334,528
  5. Step 5: Solve for x
    x = 400,543,531,956,525,334,528/13,419,973,408
  6. Step 6: Final answer
    x = 29,846,820,092.64

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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.