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Finding the Third Proportional to 10,019,449,180 and 19,785,991,516

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Solution

The third proportional to 10,019,449,180 and 19,785,991,516 is: 39,072,553,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019,449,180 : 19,785,991,516 = 19,785,991,516 : x
  2. Step 2: Convert to fraction form
    10,019,449,180/19,785,991,516 = 19,785,991,516/x
  3. Step 3: Cross multiply
    10,019,449,180x = 19,785,991,516 × 19,785,991,516
  4. Step 4: Simplify right side
    10,019,449,180x = 391,485,460,271,223,996,416
  5. Step 5: Solve for x
    x = 391,485,460,271,223,996,416/10,019,449,180
  6. Step 6: Final answer
    x = 39,072,553,115.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.