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Finding the Third Proportional to 5,157,720,966 and 7,742,040,525

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Solution

The third proportional to 5,157,720,966 and 7,742,040,525 is: 11,621,255,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157,720,966 : 7,742,040,525 = 7,742,040,525 : x
  2. Step 2: Convert to fraction form
    5,157,720,966/7,742,040,525 = 7,742,040,525/x
  3. Step 3: Cross multiply
    5,157,720,966x = 7,742,040,525 × 7,742,040,525
  4. Step 4: Simplify right side
    5,157,720,966x = 59,939,191,490,742,272,000
  5. Step 5: Solve for x
    x = 59,939,191,490,742,272,000/5,157,720,966
  6. Step 6: Final answer
    x = 11,621,255,179.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.