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Finding the Third Proportional to 6,666,901 and 14,545,289

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Solution

The third proportional to 6,666,901 and 14,545,289 is: 31,733,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666,901 : 14,545,289 = 14,545,289 : x
  2. Step 2: Convert to fraction form
    6,666,901/14,545,289 = 14,545,289/x
  3. Step 3: Cross multiply
    6,666,901x = 14,545,289 × 14,545,289
  4. Step 4: Simplify right side
    6,666,901x = 211,565,432,093,521
  5. Step 5: Solve for x
    x = 211,565,432,093,521/6,666,901
  6. Step 6: Final answer
    x = 31,733,699.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.