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Finding the Third Proportional to 2,948,433.50 and 6,306,750.25

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Solution

The third proportional to 2,948,433.50 and 6,306,750.25 is: 13,490,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,433.50 : 6,306,750.25 = 6,306,750.25 : x
  2. Step 2: Convert to fraction form
    2,948,433.50/6,306,750.25 = 6,306,750.25/x
  3. Step 3: Cross multiply
    2,948,433.50x = 6,306,750.25 × 6,306,750.25
  4. Step 4: Simplify right side
    2,948,433.50x = 39,775,098,715,875.06
  5. Step 5: Solve for x
    x = 39,775,098,715,875.06/2,948,433.50
  6. Step 6: Final answer
    x = 13,490,247.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.