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Finding the Third Proportional to 3,070,835,948 and 6,630,996,208

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Solution

The third proportional to 3,070,835,948 and 6,630,996,208 is: 14,318,612,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070,835,948 : 6,630,996,208 = 6,630,996,208 : x
  2. Step 2: Convert to fraction form
    3,070,835,948/6,630,996,208 = 6,630,996,208/x
  3. Step 3: Cross multiply
    3,070,835,948x = 6,630,996,208 × 6,630,996,208
  4. Step 4: Simplify right side
    3,070,835,948x = 43,970,110,710,510,379,008
  5. Step 5: Solve for x
    x = 43,970,110,710,510,379,008/3,070,835,948
  6. Step 6: Final answer
    x = 14,318,612,734.47

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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.