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Finding the Third Proportional to 3,141,191.25 and 6,838,602.75

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Solution

The third proportional to 3,141,191.25 and 6,838,602.75 is: 14,888,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,191.25 : 6,838,602.75 = 6,838,602.75 : x
  2. Step 2: Convert to fraction form
    3,141,191.25/6,838,602.75 = 6,838,602.75/x
  3. Step 3: Cross multiply
    3,141,191.25x = 6,838,602.75 × 6,838,602.75
  4. Step 4: Simplify right side
    3,141,191.25x = 46,766,487,572,307.56
  5. Step 5: Solve for x
    x = 46,766,487,572,307.56/3,141,191.25
  6. Step 6: Final answer
    x = 14,888,137.60

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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.