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Finding the Third Proportional to 7,589,924 and 16,391,719

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Solution

The third proportional to 7,589,924 and 16,391,719 is: 35,400,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,924 : 16,391,719 = 16,391,719 : x
  2. Step 2: Convert to fraction form
    7,589,924/16,391,719 = 16,391,719/x
  3. Step 3: Cross multiply
    7,589,924x = 16,391,719 × 16,391,719
  4. Step 4: Simplify right side
    7,589,924x = 268,688,451,774,961
  5. Step 5: Solve for x
    x = 268,688,451,774,961/7,589,924
  6. Step 6: Final answer
    x = 35,400,677.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.