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Finding the Third Proportional to 2,077,804,463 and 4,571,165,697

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Solution

The third proportional to 2,077,804,463 and 4,571,165,697 is: 10,056,555,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,804,463 : 4,571,165,697 = 4,571,165,697 : x
  2. Step 2: Convert to fraction form
    2,077,804,463/4,571,165,697 = 4,571,165,697/x
  3. Step 3: Cross multiply
    2,077,804,463x = 4,571,165,697 × 4,571,165,697
  4. Step 4: Simplify right side
    2,077,804,463x = 20,895,555,829,429,497,856
  5. Step 5: Solve for x
    x = 20,895,555,829,429,497,856/2,077,804,463
  6. Step 6: Final answer
    x = 10,056,555,465.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.