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Finding the Third Proportional to 3,141,207 and 6,838,641

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Solution

The third proportional to 3,141,207 and 6,838,641 is: 14,888,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,207 : 6,838,641 = 6,838,641 : x
  2. Step 2: Convert to fraction form
    3,141,207/6,838,641 = 6,838,641/x
  3. Step 3: Cross multiply
    3,141,207x = 6,838,641 × 6,838,641
  4. Step 4: Simplify right side
    3,141,207x = 46,767,010,726,881
  5. Step 5: Solve for x
    x = 46,767,010,726,881/3,141,207
  6. Step 6: Final answer
    x = 14,888,229.50

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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.