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Finding the Third Proportional to 111,886,610 and 263,748,509

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Solution

The third proportional to 111,886,610 and 263,748,509 is: 621,730,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,886,610 : 263,748,509 = 263,748,509 : x
  2. Step 2: Convert to fraction form
    111,886,610/263,748,509 = 263,748,509/x
  3. Step 3: Cross multiply
    111,886,610x = 263,748,509 × 263,748,509
  4. Step 4: Simplify right side
    111,886,610x = 69,563,275,999,723,080
  5. Step 5: Solve for x
    x = 69,563,275,999,723,080/111,886,610
  6. Step 6: Final answer
    x = 621,730,124.81

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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.