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Finding the Third Proportional to 1,654,813,005,444 and 2,329,325,905,410

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Solution

The third proportional to 1,654,813,005,444 and 2,329,325,905,410 is: 3,278,774,795,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,813,005,444 : 2,329,325,905,410 = 2,329,325,905,410 : x
  2. Step 2: Convert to fraction form
    1,654,813,005,444/2,329,325,905,410 = 2,329,325,905,410/x
  3. Step 3: Cross multiply
    1,654,813,005,444x = 2,329,325,905,410 × 2,329,325,905,410
  4. Step 4: Simplify right side
    1,654,813,005,444x = 5,425,759,173,614,116,431,462,400
  5. Step 5: Solve for x
    x = 5,425,759,173,614,116,431,462,400/1,654,813,005,444
  6. Step 6: Final answer
    x = 3,278,774,795,559.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.