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Finding the Third Proportional to 13,634,478 and 21,705,636

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Solution

The third proportional to 13,634,478 and 21,705,636 is: 34,554,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634,478 : 21,705,636 = 21,705,636 : x
  2. Step 2: Convert to fraction form
    13,634,478/21,705,636 = 21,705,636/x
  3. Step 3: Cross multiply
    13,634,478x = 21,705,636 × 21,705,636
  4. Step 4: Simplify right side
    13,634,478x = 471,134,634,164,496
  5. Step 5: Solve for x
    x = 471,134,634,164,496/13,634,478
  6. Step 6: Final answer
    x = 34,554,651.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.