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Finding the Third Proportional to 14,457,021 and 21,202,689

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Solution

The third proportional to 14,457,021 and 21,202,689 is: 31,095,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457,021 : 21,202,689 = 21,202,689 : x
  2. Step 2: Convert to fraction form
    14,457,021/21,202,689 = 21,202,689/x
  3. Step 3: Cross multiply
    14,457,021x = 21,202,689 × 21,202,689
  4. Step 4: Simplify right side
    14,457,021x = 449,554,020,830,721
  5. Step 5: Solve for x
    x = 449,554,020,830,721/14,457,021
  6. Step 6: Final answer
    x = 31,095,895.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.