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Finding the Third Proportional to 7,782,441.50 and 12,432,497.50

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Solution

The third proportional to 7,782,441.50 and 12,432,497.50 is: 19,860,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,441.50 : 12,432,497.50 = 12,432,497.50 : x
  2. Step 2: Convert to fraction form
    7,782,441.50/12,432,497.50 = 12,432,497.50/x
  3. Step 3: Cross multiply
    7,782,441.50x = 12,432,497.50 × 12,432,497.50
  4. Step 4: Simplify right side
    7,782,441.50x = 154,566,994,087,506.25
  5. Step 5: Solve for x
    x = 154,566,994,087,506.25/7,782,441.50
  6. Step 6: Final answer
    x = 19,860,990.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.