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Finding the Third Proportional to 3,077,142 and 6,696,120

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Solution

The third proportional to 3,077,142 and 6,696,120 is: 14,571,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,142 : 6,696,120 = 6,696,120 : x
  2. Step 2: Convert to fraction form
    3,077,142/6,696,120 = 6,696,120/x
  3. Step 3: Cross multiply
    3,077,142x = 6,696,120 × 6,696,120
  4. Step 4: Simplify right side
    3,077,142x = 44,838,023,054,400
  5. Step 5: Solve for x
    x = 44,838,023,054,400/3,077,142
  6. Step 6: Final answer
    x = 14,571,320.74

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