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Finding the Third Proportional to 5,526,073,225 and 12,020,372,903

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Solution

The third proportional to 5,526,073,225 and 12,020,372,903 is: 26,146,842,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526,073,225 : 12,020,372,903 = 12,020,372,903 : x
  2. Step 2: Convert to fraction form
    5,526,073,225/12,020,372,903 = 12,020,372,903/x
  3. Step 3: Cross multiply
    5,526,073,225x = 12,020,372,903 × 12,020,372,903
  4. Step 4: Simplify right side
    5,526,073,225x = 144,489,364,727,176,642,560
  5. Step 5: Solve for x
    x = 144,489,364,727,176,642,560/5,526,073,225
  6. Step 6: Final answer
    x = 26,146,842,223.06

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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.