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Finding the Third Proportional to 2,930,164 and 6,334,056

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Solution

The third proportional to 2,930,164 and 6,334,056 is: 13,692,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930,164 : 6,334,056 = 6,334,056 : x
  2. Step 2: Convert to fraction form
    2,930,164/6,334,056 = 6,334,056/x
  3. Step 3: Cross multiply
    2,930,164x = 6,334,056 × 6,334,056
  4. Step 4: Simplify right side
    2,930,164x = 40,120,265,411,136
  5. Step 5: Solve for x
    x = 40,120,265,411,136/2,930,164
  6. Step 6: Final answer
    x = 13,692,156.96

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Why These Related Problems?

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