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Finding the Third Proportional to 6,746,538 and 14,570,274

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Solution

The third proportional to 6,746,538 and 14,570,274 is: 31,466,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,538 : 14,570,274 = 14,570,274 : x
  2. Step 2: Convert to fraction form
    6,746,538/14,570,274 = 14,570,274/x
  3. Step 3: Cross multiply
    6,746,538x = 14,570,274 × 14,570,274
  4. Step 4: Simplify right side
    6,746,538x = 212,292,884,435,076
  5. Step 5: Solve for x
    x = 212,292,884,435,076/6,746,538
  6. Step 6: Final answer
    x = 31,466,936.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.