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Finding the Third Proportional to 7,563,234 and 16,189,596

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Solution

The third proportional to 7,563,234 and 16,189,596 is: 34,654,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563,234 : 16,189,596 = 16,189,596 : x
  2. Step 2: Convert to fraction form
    7,563,234/16,189,596 = 16,189,596/x
  3. Step 3: Cross multiply
    7,563,234x = 16,189,596 × 16,189,596
  4. Step 4: Simplify right side
    7,563,234x = 262,103,018,643,216
  5. Step 5: Solve for x
    x = 262,103,018,643,216/7,563,234
  6. Step 6: Final answer
    x = 34,654,886.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.