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Finding the Third Proportional to 12,946,871 and 19,331,683

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Solution

The third proportional to 12,946,871 and 19,331,683 is: 28,865,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946,871 : 19,331,683 = 19,331,683 : x
  2. Step 2: Convert to fraction form
    12,946,871/19,331,683 = 19,331,683/x
  3. Step 3: Cross multiply
    12,946,871x = 19,331,683 × 19,331,683
  4. Step 4: Simplify right side
    12,946,871x = 373,713,967,612,489
  5. Step 5: Solve for x
    x = 373,713,967,612,489/12,946,871
  6. Step 6: Final answer
    x = 28,865,195.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.