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Finding the Third Proportional to 6,829,538 and 14,918,596

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Solution

The third proportional to 6,829,538 and 14,918,596 is: 32,588,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,538 : 14,918,596 = 14,918,596 : x
  2. Step 2: Convert to fraction form
    6,829,538/14,918,596 = 14,918,596/x
  3. Step 3: Cross multiply
    6,829,538x = 14,918,596 × 14,918,596
  4. Step 4: Simplify right side
    6,829,538x = 222,564,506,611,216
  5. Step 5: Solve for x
    x = 222,564,506,611,216/6,829,538
  6. Step 6: Final answer
    x = 32,588,515.74

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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.