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Finding the Third Proportional to 3,139,641 and 6,781,158

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Solution

The third proportional to 3,139,641 and 6,781,158 is: 14,646,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139,641 : 6,781,158 = 6,781,158 : x
  2. Step 2: Convert to fraction form
    3,139,641/6,781,158 = 6,781,158/x
  3. Step 3: Cross multiply
    3,139,641x = 6,781,158 × 6,781,158
  4. Step 4: Simplify right side
    3,139,641x = 45,984,103,820,964
  5. Step 5: Solve for x
    x = 45,984,103,820,964/3,139,641
  6. Step 6: Final answer
    x = 14,646,293.58

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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.