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Finding the Third Proportional to 630,845,744 and 1,380,615,444

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Solution

The third proportional to 630,845,744 and 1,380,615,444 is: 3,021,497,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,845,744 : 1,380,615,444 = 1,380,615,444 : x
  2. Step 2: Convert to fraction form
    630,845,744/1,380,615,444 = 1,380,615,444/x
  3. Step 3: Cross multiply
    630,845,744x = 1,380,615,444 × 1,380,615,444
  4. Step 4: Simplify right side
    630,845,744x = 1,906,099,004,211,317,248
  5. Step 5: Solve for x
    x = 1,906,099,004,211,317,248/630,845,744
  6. Step 6: Final answer
    x = 3,021,497,762.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.