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Finding the Third Proportional to 3,070,835,951 and 6,630,996,214

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Solution

The third proportional to 3,070,835,951 and 6,630,996,214 is: 14,318,612,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070,835,951 : 6,630,996,214 = 6,630,996,214 : x
  2. Step 2: Convert to fraction form
    3,070,835,951/6,630,996,214 = 6,630,996,214/x
  3. Step 3: Cross multiply
    3,070,835,951x = 6,630,996,214 × 6,630,996,214
  4. Step 4: Simplify right side
    3,070,835,951x = 43,970,110,790,082,330,624
  5. Step 5: Solve for x
    x = 43,970,110,790,082,330,624/3,070,835,951
  6. Step 6: Final answer
    x = 14,318,612,746.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.