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Finding the Third Proportional to 30,757,056 and 65,489,664

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Solution

The third proportional to 30,757,056 and 65,489,664 is: 139,444,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757,056 : 65,489,664 = 65,489,664 : x
  2. Step 2: Convert to fraction form
    30,757,056/65,489,664 = 65,489,664/x
  3. Step 3: Cross multiply
    30,757,056x = 65,489,664 × 65,489,664
  4. Step 4: Simplify right side
    30,757,056x = 4,288,896,090,832,896
  5. Step 5: Solve for x
    x = 4,288,896,090,832,896/30,757,056
  6. Step 6: Final answer
    x = 139,444,298.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.