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Finding the Third Proportional to 3,380,298,350 and 7,225,794,602

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Solution

The third proportional to 3,380,298,350 and 7,225,794,602 is: 15,446,005,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380,298,350 : 7,225,794,602 = 7,225,794,602 : x
  2. Step 2: Convert to fraction form
    3,380,298,350/7,225,794,602 = 7,225,794,602/x
  3. Step 3: Cross multiply
    3,380,298,350x = 7,225,794,602 × 7,225,794,602
  4. Step 4: Simplify right side
    3,380,298,350x = 52,212,107,630,292,336,640
  5. Step 5: Solve for x
    x = 52,212,107,630,292,336,640/3,380,298,350
  6. Step 6: Final answer
    x = 15,446,005,714.35

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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.