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Finding the Third Proportional to 30,827,718 and 64,205,798

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Solution

The third proportional to 30,827,718 and 64,205,798 is: 133,723,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827,718 : 64,205,798 = 64,205,798 : x
  2. Step 2: Convert to fraction form
    30,827,718/64,205,798 = 64,205,798/x
  3. Step 3: Cross multiply
    30,827,718x = 64,205,798 × 64,205,798
  4. Step 4: Simplify right side
    30,827,718x = 4,122,384,496,816,804
  5. Step 5: Solve for x
    x = 4,122,384,496,816,804/30,827,718
  6. Step 6: Final answer
    x = 133,723,310.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.