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Finding the Third Proportional to 5,157,720,976 and 7,742,040,538

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Solution

The third proportional to 5,157,720,976 and 7,742,040,538 is: 11,621,255,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157,720,976 : 7,742,040,538 = 7,742,040,538 : x
  2. Step 2: Convert to fraction form
    5,157,720,976/7,742,040,538 = 7,742,040,538/x
  3. Step 3: Cross multiply
    5,157,720,976x = 7,742,040,538 × 7,742,040,538
  4. Step 4: Simplify right side
    5,157,720,976x = 59,939,191,692,035,325,952
  5. Step 5: Solve for x
    x = 59,939,191,692,035,325,952/5,157,720,976
  6. Step 6: Final answer
    x = 11,621,255,196.03

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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.