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Finding the Third Proportional to 19,814,658 and 27,903,402

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Solution

The third proportional to 19,814,658 and 27,903,402 is: 39,294,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814,658 : 27,903,402 = 27,903,402 : x
  2. Step 2: Convert to fraction form
    19,814,658/27,903,402 = 27,903,402/x
  3. Step 3: Cross multiply
    19,814,658x = 27,903,402 × 27,903,402
  4. Step 4: Simplify right side
    19,814,658x = 778,599,843,173,604
  5. Step 5: Solve for x
    x = 778,599,843,173,604/19,814,658
  6. Step 6: Final answer
    x = 39,294,134.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.