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Finding the Third Proportional to 960,604,038 and 2,265,371,215

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Solution

The third proportional to 960,604,038 and 2,265,371,215 is: 5,342,374,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,604,038 : 2,265,371,215 = 2,265,371,215 : x
  2. Step 2: Convert to fraction form
    960,604,038/2,265,371,215 = 2,265,371,215/x
  3. Step 3: Cross multiply
    960,604,038x = 2,265,371,215 × 2,265,371,215
  4. Step 4: Simplify right side
    960,604,038x = 5,131,906,741,750,576,128
  5. Step 5: Solve for x
    x = 5,131,906,741,750,576,128/960,604,038
  6. Step 6: Final answer
    x = 5,342,374,733.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.