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Finding the Third Proportional to 16,040,834 and 34,638,473

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Solution

The third proportional to 16,040,834 and 34,638,473 is: 74,798,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040,834 : 34,638,473 = 34,638,473 : x
  2. Step 2: Convert to fraction form
    16,040,834/34,638,473 = 34,638,473/x
  3. Step 3: Cross multiply
    16,040,834x = 34,638,473 × 34,638,473
  4. Step 4: Simplify right side
    16,040,834x = 1,199,823,811,771,729
  5. Step 5: Solve for x
    x = 1,199,823,811,771,729/16,040,834
  6. Step 6: Final answer
    x = 74,798,094.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.