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Finding the Third Proportional to 666,154,346 and 1,443,512,672

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Solution

The third proportional to 666,154,346 and 1,443,512,672 is: 3,127,997,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,154,346 : 1,443,512,672 = 1,443,512,672 : x
  2. Step 2: Convert to fraction form
    666,154,346/1,443,512,672 = 1,443,512,672/x
  3. Step 3: Cross multiply
    666,154,346x = 1,443,512,672 × 1,443,512,672
  4. Step 4: Simplify right side
    666,154,346x = 2,083,728,834,224,579,584
  5. Step 5: Solve for x
    x = 2,083,728,834,224,579,584/666,154,346
  6. Step 6: Final answer
    x = 3,127,997,057.64

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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.