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Finding the Third Proportional to 3,178,257,192 and 6,842,251,152

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Solution

The third proportional to 3,178,257,192 and 6,842,251,152 is: 14,730,211,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,257,192 : 6,842,251,152 = 6,842,251,152 : x
  2. Step 2: Convert to fraction form
    3,178,257,192/6,842,251,152 = 6,842,251,152/x
  3. Step 3: Cross multiply
    3,178,257,192x = 6,842,251,152 × 6,842,251,152
  4. Step 4: Simplify right side
    3,178,257,192x = 46,816,400,827,045,330,944
  5. Step 5: Solve for x
    x = 46,816,400,827,045,330,944/3,178,257,192
  6. Step 6: Final answer
    x = 14,730,211,558.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.