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Finding the Third Proportional to 730,777,712 and 1,705,206,928

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Solution

The third proportional to 730,777,712 and 1,705,206,928 is: 3,978,953,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,777,712 : 1,705,206,928 = 1,705,206,928 : x
  2. Step 2: Convert to fraction form
    730,777,712/1,705,206,928 = 1,705,206,928/x
  3. Step 3: Cross multiply
    730,777,712x = 1,705,206,928 × 1,705,206,928
  4. Step 4: Simplify right side
    730,777,712x = 2,907,730,667,299,196,928
  5. Step 5: Solve for x
    x = 2,907,730,667,299,196,928/730,777,712
  6. Step 6: Final answer
    x = 3,978,953,681.20

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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.