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Finding the Third Proportional to 299,549,338,098 and 641,512,273,818

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Solution

The third proportional to 299,549,338,098 and 641,512,273,818 is: 1,373,857,141,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,549,338,098 : 641,512,273,818 = 641,512,273,818 : x
  2. Step 2: Convert to fraction form
    299,549,338,098/641,512,273,818 = 641,512,273,818/x
  3. Step 3: Cross multiply
    299,549,338,098x = 641,512,273,818 × 641,512,273,818
  4. Step 4: Simplify right side
    299,549,338,098x = 411,537,997,459,140,582,047,744
  5. Step 5: Solve for x
    x = 411,537,997,459,140,582,047,744/299,549,338,098
  6. Step 6: Final answer
    x = 1,373,857,141,772.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.