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Finding the Third Proportional to 630,845,993 and 1,380,615,699

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Solution

The third proportional to 630,845,993 and 1,380,615,699 is: 3,021,497,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,845,993 : 1,380,615,699 = 1,380,615,699 : x
  2. Step 2: Convert to fraction form
    630,845,993/1,380,615,699 = 1,380,615,699/x
  3. Step 3: Cross multiply
    630,845,993x = 1,380,615,699 × 1,380,615,699
  4. Step 4: Simplify right side
    630,845,993x = 1,906,099,708,325,258,496
  5. Step 5: Solve for x
    x = 1,906,099,708,325,258,496/630,845,993
  6. Step 6: Final answer
    x = 3,021,497,686.40

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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.