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Finding the Third Proportional to 10,913,479,020 and 23,679,318,069

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Solution

The third proportional to 10,913,479,020 and 23,679,318,069 is: 51,377,759,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913,479,020 : 23,679,318,069 = 23,679,318,069 : x
  2. Step 2: Convert to fraction form
    10,913,479,020/23,679,318,069 = 23,679,318,069/x
  3. Step 3: Cross multiply
    10,913,479,020x = 23,679,318,069 × 23,679,318,069
  4. Step 4: Simplify right side
    10,913,479,020x = 560,710,104,212,869,873,664
  5. Step 5: Solve for x
    x = 560,710,104,212,869,873,664/10,913,479,020
  6. Step 6: Final answer
    x = 51,377,759,849.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.