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Finding the Third Proportional to 3,125,025,077 and 6,679,828,210

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Solution

The third proportional to 3,125,025,077 and 6,679,828,210 is: 14,278,318,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125,025,077 : 6,679,828,210 = 6,679,828,210 : x
  2. Step 2: Convert to fraction form
    3,125,025,077/6,679,828,210 = 6,679,828,210/x
  3. Step 3: Cross multiply
    3,125,025,077x = 6,679,828,210 × 6,679,828,210
  4. Step 4: Simplify right side
    3,125,025,077x = 44,620,104,915,111,804,928
  5. Step 5: Solve for x
    x = 44,620,104,915,111,804,928/3,125,025,077
  6. Step 6: Final answer
    x = 14,278,318,994.47

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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.