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Finding the Third Proportional to 14,402,584 and 21,057,081

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Solution

The third proportional to 14,402,584 and 21,057,081 is: 30,786,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402,584 : 21,057,081 = 21,057,081 : x
  2. Step 2: Convert to fraction form
    14,402,584/21,057,081 = 21,057,081/x
  3. Step 3: Cross multiply
    14,402,584x = 21,057,081 × 21,057,081
  4. Step 4: Simplify right side
    14,402,584x = 443,400,660,240,561
  5. Step 5: Solve for x
    x = 443,400,660,240,561/14,402,584
  6. Step 6: Final answer
    x = 30,786,188.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.