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Finding the Third Proportional to 842,002,426,208 and 1,818,205,436,416

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Solution

The third proportional to 842,002,426,208 and 1,818,205,436,416 is: 3,926,201,286,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,002,426,208 : 1,818,205,436,416 = 1,818,205,436,416 : x
  2. Step 2: Convert to fraction form
    842,002,426,208/1,818,205,436,416 = 1,818,205,436,416/x
  3. Step 3: Cross multiply
    842,002,426,208x = 1,818,205,436,416 × 1,818,205,436,416
  4. Step 4: Simplify right side
    842,002,426,208x = 3,305,871,009,012,697,268,224,000
  5. Step 5: Solve for x
    x = 3,305,871,009,012,697,268,224,000/842,002,426,208
  6. Step 6: Final answer
    x = 3,926,201,286,498.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.