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Finding the Third Proportional to 3,077,140 and 6,696,114

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Solution

The third proportional to 3,077,140 and 6,696,114 is: 14,571,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,140 : 6,696,114 = 6,696,114 : x
  2. Step 2: Convert to fraction form
    3,077,140/6,696,114 = 6,696,114/x
  3. Step 3: Cross multiply
    3,077,140x = 6,696,114 × 6,696,114
  4. Step 4: Simplify right side
    3,077,140x = 44,837,942,700,996
  5. Step 5: Solve for x
    x = 44,837,942,700,996/3,077,140
  6. Step 6: Final answer
    x = 14,571,304.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.