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Finding the Third Proportional to 12,656,414 and 26,210,056

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Solution

The third proportional to 12,656,414 and 26,210,056 is: 54,278,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656,414 : 26,210,056 = 26,210,056 : x
  2. Step 2: Convert to fraction form
    12,656,414/26,210,056 = 26,210,056/x
  3. Step 3: Cross multiply
    12,656,414x = 26,210,056 × 26,210,056
  4. Step 4: Simplify right side
    12,656,414x = 686,967,035,523,136
  5. Step 5: Solve for x
    x = 686,967,035,523,136/12,656,414
  6. Step 6: Final answer
    x = 54,278,173.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.