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Finding the Third Proportional to 3,643,859,389,700 and 7,589,318,868,895

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Solution

The third proportional to 3,643,859,389,700 and 7,589,318,868,895 is: 15,806,801,178,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,859,389,700 : 7,589,318,868,895 = 7,589,318,868,895 : x
  2. Step 2: Convert to fraction form
    3,643,859,389,700/7,589,318,868,895 = 7,589,318,868,895/x
  3. Step 3: Cross multiply
    3,643,859,389,700x = 7,589,318,868,895 × 7,589,318,868,895
  4. Step 4: Simplify right side
    3,643,859,389,700x = 57,597,760,893,765,686,411,657,216
  5. Step 5: Solve for x
    x = 57,597,760,893,765,686,411,657,216/3,643,859,389,700
  6. Step 6: Final answer
    x = 15,806,801,178,051.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.