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Finding the Third Proportional to 873,704,505 and 1,877,080,576

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Solution

The third proportional to 873,704,505 and 1,877,080,576 is: 4,032,749,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,704,505 : 1,877,080,576 = 1,877,080,576 : x
  2. Step 2: Convert to fraction form
    873,704,505/1,877,080,576 = 1,877,080,576/x
  3. Step 3: Cross multiply
    873,704,505x = 1,877,080,576 × 1,877,080,576
  4. Step 4: Simplify right side
    873,704,505x = 3,523,431,488,796,491,776
  5. Step 5: Solve for x
    x = 3,523,431,488,796,491,776/873,704,505
  6. Step 6: Final answer
    x = 4,032,749,595.12

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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.