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Finding the Third Proportional to 10,144,816,884 and 16,307,740,017

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Solution

The third proportional to 10,144,816,884 and 16,307,740,017 is: 26,214,606,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144,816,884 : 16,307,740,017 = 16,307,740,017 : x
  2. Step 2: Convert to fraction form
    10,144,816,884/16,307,740,017 = 16,307,740,017/x
  3. Step 3: Cross multiply
    10,144,816,884x = 16,307,740,017 × 16,307,740,017
  4. Step 4: Simplify right side
    10,144,816,884x = 265,942,384,462,063,173,632
  5. Step 5: Solve for x
    x = 265,942,384,462,063,173,632/10,144,816,884
  6. Step 6: Final answer
    x = 26,214,606,680.73

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.