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Finding the Third Proportional to 13,419,973,402 and 20,013,583,616

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Solution

The third proportional to 13,419,973,402 and 20,013,583,616 is: 29,846,819,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419,973,402 : 20,013,583,616 = 20,013,583,616 : x
  2. Step 2: Convert to fraction form
    13,419,973,402/20,013,583,616 = 20,013,583,616/x
  3. Step 3: Cross multiply
    13,419,973,402x = 20,013,583,616 × 20,013,583,616
  4. Step 4: Simplify right side
    13,419,973,402x = 400,543,529,154,623,635,456
  5. Step 5: Solve for x
    x = 400,543,529,154,623,635,456/13,419,973,402
  6. Step 6: Final answer
    x = 29,846,819,897.19

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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.