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Finding the Third Proportional to 3,070,835,949 and 6,630,996,210

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Solution

The third proportional to 3,070,835,949 and 6,630,996,210 is: 14,318,612,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070,835,949 : 6,630,996,210 = 6,630,996,210 : x
  2. Step 2: Convert to fraction form
    3,070,835,949/6,630,996,210 = 6,630,996,210/x
  3. Step 3: Cross multiply
    3,070,835,949x = 6,630,996,210 × 6,630,996,210
  4. Step 4: Simplify right side
    3,070,835,949x = 43,970,110,737,034,362,880
  5. Step 5: Solve for x
    x = 43,970,110,737,034,362,880/3,070,835,949
  6. Step 6: Final answer
    x = 14,318,612,738.45

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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.