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Finding the Third Proportional to 49,296,636 and 106,387,720

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Solution

The third proportional to 49,296,636 and 106,387,720 is: 229,596,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296,636 : 106,387,720 = 106,387,720 : x
  2. Step 2: Convert to fraction form
    49,296,636/106,387,720 = 106,387,720/x
  3. Step 3: Cross multiply
    49,296,636x = 106,387,720 × 106,387,720
  4. Step 4: Simplify right side
    49,296,636x = 11,318,346,966,798,400
  5. Step 5: Solve for x
    x = 11,318,346,966,798,400/49,296,636
  6. Step 6: Final answer
    x = 229,596,740.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.