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Finding the Third Proportional to 6,638,288 and 14,482,960

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Solution

The third proportional to 6,638,288 and 14,482,960 is: 31,597,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638,288 : 14,482,960 = 14,482,960 : x
  2. Step 2: Convert to fraction form
    6,638,288/14,482,960 = 14,482,960/x
  3. Step 3: Cross multiply
    6,638,288x = 14,482,960 × 14,482,960
  4. Step 4: Simplify right side
    6,638,288x = 209,756,130,361,600
  5. Step 5: Solve for x
    x = 209,756,130,361,600/6,638,288
  6. Step 6: Final answer
    x = 31,597,925.60

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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.