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Finding the Third Proportional to 10,257,178.50 and 16,241,985

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Solution

The third proportional to 10,257,178.50 and 16,241,985 is: 25,718,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,178.50 : 16,241,985 = 16,241,985 : x
  2. Step 2: Convert to fraction form
    10,257,178.50/16,241,985 = 16,241,985/x
  3. Step 3: Cross multiply
    10,257,178.50x = 16,241,985 × 16,241,985
  4. Step 4: Simplify right side
    10,257,178.50x = 263,802,076,740,225
  5. Step 5: Solve for x
    x = 263,802,076,740,225/10,257,178.50
  6. Step 6: Final answer
    x = 25,718,776.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.