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Finding the Third Proportional to 5,526,073,223 and 12,020,372,899

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Solution

The third proportional to 5,526,073,223 and 12,020,372,899 is: 26,146,842,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526,073,223 : 12,020,372,899 = 12,020,372,899 : x
  2. Step 2: Convert to fraction form
    5,526,073,223/12,020,372,899 = 12,020,372,899/x
  3. Step 3: Cross multiply
    5,526,073,223x = 12,020,372,899 × 12,020,372,899
  4. Step 4: Simplify right side
    5,526,073,223x = 144,489,364,631,013,670,912
  5. Step 5: Solve for x
    x = 144,489,364,631,013,670,912/5,526,073,223
  6. Step 6: Final answer
    x = 26,146,842,215.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.