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Finding the Third Proportional to 6,418,964 and 13,849,088

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Solution

The third proportional to 6,418,964 and 13,849,088 is: 29,879,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,964 : 13,849,088 = 13,849,088 : x
  2. Step 2: Convert to fraction form
    6,418,964/13,849,088 = 13,849,088/x
  3. Step 3: Cross multiply
    6,418,964x = 13,849,088 × 13,849,088
  4. Step 4: Simplify right side
    6,418,964x = 191,797,238,431,744
  5. Step 5: Solve for x
    x = 191,797,238,431,744/6,418,964
  6. Step 6: Final answer
    x = 29,879,780.98

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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.