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Finding the Third Proportional to 8,950,924 and 13,766,154

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Solution

The third proportional to 8,950,924 and 13,766,154 is: 21,171,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950,924 : 13,766,154 = 13,766,154 : x
  2. Step 2: Convert to fraction form
    8,950,924/13,766,154 = 13,766,154/x
  3. Step 3: Cross multiply
    8,950,924x = 13,766,154 × 13,766,154
  4. Step 4: Simplify right side
    8,950,924x = 189,506,995,951,716
  5. Step 5: Solve for x
    x = 189,506,995,951,716/8,950,924
  6. Step 6: Final answer
    x = 21,171,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.