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Finding the Third Proportional to 30,024,276.33 and 65,553,949.27

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Solution

The third proportional to 30,024,276.33 and 65,553,949.27 is: 143,128,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024,276.33 : 65,553,949.27 = 65,553,949.27 : x
  2. Step 2: Convert to fraction form
    30,024,276.33/65,553,949.27 = 65,553,949.27/x
  3. Step 3: Cross multiply
    30,024,276.33x = 65,553,949.27 × 65,553,949.27
  4. Step 4: Simplify right side
    30,024,276.33x = 4,297,320,264,320,136.50
  5. Step 5: Solve for x
    x = 4,297,320,264,320,136.50/30,024,276.33
  6. Step 6: Final answer
    x = 143,128,187.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.