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Finding the Third Proportional to 7,567,871.45 and 16,144,770.02

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Solution

The third proportional to 7,567,871.45 and 16,144,770.02 is: 34,442,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,871.45 : 16,144,770.02 = 16,144,770.02 : x
  2. Step 2: Convert to fraction form
    7,567,871.45/16,144,770.02 = 16,144,770.02/x
  3. Step 3: Cross multiply
    7,567,871.45x = 16,144,770.02 × 16,144,770.02
  4. Step 4: Simplify right side
    7,567,871.45x = 260,653,599,109,702.22
  5. Step 5: Solve for x
    x = 260,653,599,109,702.22/7,567,871.45
  6. Step 6: Final answer
    x = 34,442,128.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.