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Finding the Third Proportional to 27,065,720 and 63,870,254

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Solution

The third proportional to 27,065,720 and 63,870,254 is: 150,722,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065,720 : 63,870,254 = 63,870,254 : x
  2. Step 2: Convert to fraction form
    27,065,720/63,870,254 = 63,870,254/x
  3. Step 3: Cross multiply
    27,065,720x = 63,870,254 × 63,870,254
  4. Step 4: Simplify right side
    27,065,720x = 4,079,409,346,024,516
  5. Step 5: Solve for x
    x = 4,079,409,346,024,516/27,065,720
  6. Step 6: Final answer
    x = 150,722,365.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.