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Finding the Third Proportional to 2,500,997,882 and 5,325,461,813

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Solution

The third proportional to 2,500,997,882 and 5,325,461,813 is: 11,339,691,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500,997,882 : 5,325,461,813 = 5,325,461,813 : x
  2. Step 2: Convert to fraction form
    2,500,997,882/5,325,461,813 = 5,325,461,813/x
  3. Step 3: Cross multiply
    2,500,997,882x = 5,325,461,813 × 5,325,461,813
  4. Step 4: Simplify right side
    2,500,997,882x = 28,360,543,521,721,245,696
  5. Step 5: Solve for x
    x = 28,360,543,521,721,245,696/2,500,997,882
  6. Step 6: Final answer
    x = 11,339,691,139.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.