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Finding the Third Proportional to 767,307,867.75 and 1,663,655,114.25

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Solution

The third proportional to 767,307,867.75 and 1,663,655,114.25 is: 3,607,089,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,307,867.75 : 1,663,655,114.25 = 1,663,655,114.25 : x
  2. Step 2: Convert to fraction form
    767,307,867.75/1,663,655,114.25 = 1,663,655,114.25/x
  3. Step 3: Cross multiply
    767,307,867.75x = 1,663,655,114.25 × 1,663,655,114.25
  4. Step 4: Simplify right side
    767,307,867.75x = 2,767,748,339,170,180,608
  5. Step 5: Solve for x
    x = 2,767,748,339,170,180,608/767,307,867.75
  6. Step 6: Final answer
    x = 3,607,089,742.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.