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Finding the Third Proportional to 3,209,607 and 6,994,957.50

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Solution

The third proportional to 3,209,607 and 6,994,957.50 is: 15,244,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,607 : 6,994,957.50 = 6,994,957.50 : x
  2. Step 2: Convert to fraction form
    3,209,607/6,994,957.50 = 6,994,957.50/x
  3. Step 3: Cross multiply
    3,209,607x = 6,994,957.50 × 6,994,957.50
  4. Step 4: Simplify right side
    3,209,607x = 48,929,430,426,806.25
  5. Step 5: Solve for x
    x = 48,929,430,426,806.25/3,209,607
  6. Step 6: Final answer
    x = 15,244,679.62

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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.