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Finding the Third Proportional to 1,654,813,005,458 and 2,329,325,905,430

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Solution

The third proportional to 1,654,813,005,458 and 2,329,325,905,430 is: 3,278,774,795,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,813,005,458 : 2,329,325,905,430 = 2,329,325,905,430 : x
  2. Step 2: Convert to fraction form
    1,654,813,005,458/2,329,325,905,430 = 2,329,325,905,430/x
  3. Step 3: Cross multiply
    1,654,813,005,458x = 2,329,325,905,430 × 2,329,325,905,430
  4. Step 4: Simplify right side
    1,654,813,005,458x = 5,425,759,173,707,289,304,498,176
  5. Step 5: Solve for x
    x = 5,425,759,173,707,289,304,498,176/1,654,813,005,458
  6. Step 6: Final answer
    x = 3,278,774,795,588.22

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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.