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Finding the Third Proportional to 438,709,352 and 952,939,216

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Solution

The third proportional to 438,709,352 and 952,939,216 is: 2,069,919,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,709,352 : 952,939,216 = 952,939,216 : x
  2. Step 2: Convert to fraction form
    438,709,352/952,939,216 = 952,939,216/x
  3. Step 3: Cross multiply
    438,709,352x = 952,939,216 × 952,939,216
  4. Step 4: Simplify right side
    438,709,352x = 908,093,149,390,694,656
  5. Step 5: Solve for x
    x = 908,093,149,390,694,656/438,709,352
  6. Step 6: Final answer
    x = 2,069,919,743.56

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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.