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Finding the Third Proportional to 350,592,253,998 and 765,733,056,240

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Solution

The third proportional to 350,592,253,998 and 765,733,056,240 is: 1,672,447,427,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,592,253,998 : 765,733,056,240 = 765,733,056,240 : x
  2. Step 2: Convert to fraction form
    350,592,253,998/765,733,056,240 = 765,733,056,240/x
  3. Step 3: Cross multiply
    350,592,253,998x = 765,733,056,240 × 765,733,056,240
  4. Step 4: Simplify right side
    350,592,253,998x = 586,347,113,418,651,024,228,352
  5. Step 5: Solve for x
    x = 586,347,113,418,651,024,228,352/350,592,253,998
  6. Step 6: Final answer
    x = 1,672,447,427,837.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.