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Finding the Third Proportional to 2,004,855,327 and 4,174,701,768

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Solution

The third proportional to 2,004,855,327 and 4,174,701,768 is: 8,692,963,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,855,327 : 4,174,701,768 = 4,174,701,768 : x
  2. Step 2: Convert to fraction form
    2,004,855,327/4,174,701,768 = 4,174,701,768/x
  3. Step 3: Cross multiply
    2,004,855,327x = 4,174,701,768 × 4,174,701,768
  4. Step 4: Simplify right side
    2,004,855,327x = 17,428,134,851,742,326,784
  5. Step 5: Solve for x
    x = 17,428,134,851,742,326,784/2,004,855,327
  6. Step 6: Final answer
    x = 8,692,963,834.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.