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Finding the Third Proportional to 5,280,494,747 and 11,190,547,790

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Solution

The third proportional to 5,280,494,747 and 11,190,547,790 is: 23,715,270,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,494,747 : 11,190,547,790 = 11,190,547,790 : x
  2. Step 2: Convert to fraction form
    5,280,494,747/11,190,547,790 = 11,190,547,790/x
  3. Step 3: Cross multiply
    5,280,494,747x = 11,190,547,790 × 11,190,547,790
  4. Step 4: Simplify right side
    5,280,494,747x = 125,228,359,840,273,891,328
  5. Step 5: Solve for x
    x = 125,228,359,840,273,891,328/5,280,494,747
  6. Step 6: Final answer
    x = 23,715,270,223.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.