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Finding the Third Proportional to 6,965,610.19 and 16,389,655.17

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Solution

The third proportional to 6,965,610.19 and 16,389,655.17 is: 38,563,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,610.19 : 16,389,655.17 = 16,389,655.17 : x
  2. Step 2: Convert to fraction form
    6,965,610.19/16,389,655.17 = 16,389,655.17/x
  3. Step 3: Cross multiply
    6,965,610.19x = 16,389,655.17 × 16,389,655.17
  4. Step 4: Simplify right side
    6,965,610.19x = 268,620,796,652,968.94
  5. Step 5: Solve for x
    x = 268,620,796,652,968.94/6,965,610.19
  6. Step 6: Final answer
    x = 38,563,857.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.