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Finding the Third Proportional to 6,666,897 and 14,545,281

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Solution

The third proportional to 6,666,897 and 14,545,281 is: 31,733,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666,897 : 14,545,281 = 14,545,281 : x
  2. Step 2: Convert to fraction form
    6,666,897/14,545,281 = 14,545,281/x
  3. Step 3: Cross multiply
    6,666,897x = 14,545,281 × 14,545,281
  4. Step 4: Simplify right side
    6,666,897x = 211,565,199,368,961
  5. Step 5: Solve for x
    x = 211,565,199,368,961/6,666,897
  6. Step 6: Final answer
    x = 31,733,683.51

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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.