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Finding the Third Proportional to 15,676,638.75 and 21,662,263.50

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Solution

The third proportional to 15,676,638.75 and 21,662,263.50 is: 29,933,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676,638.75 : 21,662,263.50 = 21,662,263.50 : x
  2. Step 2: Convert to fraction form
    15,676,638.75/21,662,263.50 = 21,662,263.50/x
  3. Step 3: Cross multiply
    15,676,638.75x = 21,662,263.50 × 21,662,263.50
  4. Step 4: Simplify right side
    15,676,638.75x = 469,253,659,943,432.25
  5. Step 5: Solve for x
    x = 469,253,659,943,432.25/15,676,638.75
  6. Step 6: Final answer
    x = 29,933,308.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.