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Finding the Third Proportional to 13,865,782.50 and 21,638,086.88

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Solution

The third proportional to 13,865,782.50 and 21,638,086.88 is: 33,767,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865,782.50 : 21,638,086.88 = 21,638,086.88 : x
  2. Step 2: Convert to fraction form
    13,865,782.50/21,638,086.88 = 21,638,086.88/x
  3. Step 3: Cross multiply
    13,865,782.50x = 21,638,086.88 × 21,638,086.88
  4. Step 4: Simplify right side
    13,865,782.50x = 468,206,803,610,047.25
  5. Step 5: Solve for x
    x = 468,206,803,610,047.25/13,865,782.50
  6. Step 6: Final answer
    x = 33,767,066.78

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.