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Finding the Third Proportional to 616,593,944 and 1,438,768,913

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Solution

The third proportional to 616,593,944 and 1,438,768,913 is: 3,357,243,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,593,944 : 1,438,768,913 = 1,438,768,913 : x
  2. Step 2: Convert to fraction form
    616,593,944/1,438,768,913 = 1,438,768,913/x
  3. Step 3: Cross multiply
    616,593,944x = 1,438,768,913 × 1,438,768,913
  4. Step 4: Simplify right side
    616,593,944x = 2,070,055,985,015,201,536
  5. Step 5: Solve for x
    x = 2,070,055,985,015,201,536/616,593,944
  6. Step 6: Final answer
    x = 3,357,243,458.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.