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Finding the Third Proportional to 1,775,303,807 and 3,859,608,729

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Solution

The third proportional to 1,775,303,807 and 3,859,608,729 is: 8,391,002,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,303,807 : 3,859,608,729 = 3,859,608,729 : x
  2. Step 2: Convert to fraction form
    1,775,303,807/3,859,608,729 = 3,859,608,729/x
  3. Step 3: Cross multiply
    1,775,303,807x = 3,859,608,729 × 3,859,608,729
  4. Step 4: Simplify right side
    1,775,303,807x = 14,896,579,540,972,994,560
  5. Step 5: Solve for x
    x = 14,896,579,540,972,994,560/1,775,303,807
  6. Step 6: Final answer
    x = 8,391,002,983.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.