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Finding the Third Proportional to 18,966,699 and 27,103,018.50

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Solution

The third proportional to 18,966,699 and 27,103,018.50 is: 38,729,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,966,699 : 27,103,018.50 = 27,103,018.50 : x
  2. Step 2: Convert to fraction form
    18,966,699/27,103,018.50 = 27,103,018.50/x
  3. Step 3: Cross multiply
    18,966,699x = 27,103,018.50 × 27,103,018.50
  4. Step 4: Simplify right side
    18,966,699x = 734,573,611,811,342.25
  5. Step 5: Solve for x
    x = 734,573,611,811,342.25/18,966,699
  6. Step 6: Final answer
    x = 38,729,649.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.