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Finding the Third Proportional to 1,810,345,006 and 3,909,164,060

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Solution

The third proportional to 1,810,345,006 and 3,909,164,060 is: 8,441,243,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810,345,006 : 3,909,164,060 = 3,909,164,060 : x
  2. Step 2: Convert to fraction form
    1,810,345,006/3,909,164,060 = 3,909,164,060/x
  3. Step 3: Cross multiply
    1,810,345,006x = 3,909,164,060 × 3,909,164,060
  4. Step 4: Simplify right side
    1,810,345,006x = 15,281,563,647,995,682,816
  5. Step 5: Solve for x
    x = 15,281,563,647,995,682,816/1,810,345,006
  6. Step 6: Final answer
    x = 8,441,243,849.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.