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Finding the Third Proportional to 7,743,649.50 and 16,699,642.50

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Solution

The third proportional to 7,743,649.50 and 16,699,642.50 is: 36,013,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743,649.50 : 16,699,642.50 = 16,699,642.50 : x
  2. Step 2: Convert to fraction form
    7,743,649.50/16,699,642.50 = 16,699,642.50/x
  3. Step 3: Cross multiply
    7,743,649.50x = 16,699,642.50 × 16,699,642.50
  4. Step 4: Simplify right side
    7,743,649.50x = 278,878,059,627,806.25
  5. Step 5: Solve for x
    x = 278,878,059,627,806.25/7,743,649.50
  6. Step 6: Final answer
    x = 36,013,776.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.