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Finding the Third Proportional to 779,151,407,912 and 1,675,562,423,497

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Solution

The third proportional to 779,151,407,912 and 1,675,562,423,497 is: 3,603,291,230,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,151,407,912 : 1,675,562,423,497 = 1,675,562,423,497 : x
  2. Step 2: Convert to fraction form
    779,151,407,912/1,675,562,423,497 = 1,675,562,423,497/x
  3. Step 3: Cross multiply
    779,151,407,912x = 1,675,562,423,497 × 1,675,562,423,497
  4. Step 4: Simplify right side
    779,151,407,912x = 2,807,509,435,035,139,887,333,376
  5. Step 5: Solve for x
    x = 2,807,509,435,035,139,887,333,376/779,151,407,912
  6. Step 6: Final answer
    x = 3,603,291,230,081.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.