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Finding the Third Proportional to 7,295,755,617 and 14,794,524,207

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Solution

The third proportional to 7,295,755,617 and 14,794,524,207 is: 30,000,723,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295,755,617 : 14,794,524,207 = 14,794,524,207 : x
  2. Step 2: Convert to fraction form
    7,295,755,617/14,794,524,207 = 14,794,524,207/x
  3. Step 3: Cross multiply
    7,295,755,617x = 14,794,524,207 × 14,794,524,207
  4. Step 4: Simplify right side
    7,295,755,617x = 218,877,946,511,508,963,328
  5. Step 5: Solve for x
    x = 218,877,946,511,508,963,328/7,295,755,617
  6. Step 6: Final answer
    x = 30,000,723,434.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.