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Finding the Third Proportional to 1,997,216,784 and 4,342,059,824

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Solution

The third proportional to 1,997,216,784 and 4,342,059,824 is: 9,439,878,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,216,784 : 4,342,059,824 = 4,342,059,824 : x
  2. Step 2: Convert to fraction form
    1,997,216,784/4,342,059,824 = 4,342,059,824/x
  3. Step 3: Cross multiply
    1,997,216,784x = 4,342,059,824 × 4,342,059,824
  4. Step 4: Simplify right side
    1,997,216,784x = 18,853,483,515,194,912,768
  5. Step 5: Solve for x
    x = 18,853,483,515,194,912,768/1,997,216,784
  6. Step 6: Final answer
    x = 9,439,878,367.85

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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.