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Finding the Third Proportional to 30,449,088 and 65,946,852

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Solution

The third proportional to 30,449,088 and 65,946,852 is: 142,828,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449,088 : 65,946,852 = 65,946,852 : x
  2. Step 2: Convert to fraction form
    30,449,088/65,946,852 = 65,946,852/x
  3. Step 3: Cross multiply
    30,449,088x = 65,946,852 × 65,946,852
  4. Step 4: Simplify right side
    30,449,088x = 4,348,987,288,709,904
  5. Step 5: Solve for x
    x = 4,348,987,288,709,904/30,449,088
  6. Step 6: Final answer
    x = 142,828,162.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.