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Finding the Third Proportional to 3,056,964 and 6,478,056

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Solution

The third proportional to 3,056,964 and 6,478,056 is: 13,727,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056,964 : 6,478,056 = 6,478,056 : x
  2. Step 2: Convert to fraction form
    3,056,964/6,478,056 = 6,478,056/x
  3. Step 3: Cross multiply
    3,056,964x = 6,478,056 × 6,478,056
  4. Step 4: Simplify right side
    3,056,964x = 41,965,209,539,136
  5. Step 5: Solve for x
    x = 41,965,209,539,136/3,056,964
  6. Step 6: Final answer
    x = 13,727,740.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.