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Finding the Third Proportional to 49,567,617 and 107,370,017

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Solution

The third proportional to 49,567,617 and 107,370,017 is: 232,577,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567,617 : 107,370,017 = 107,370,017 : x
  2. Step 2: Convert to fraction form
    49,567,617/107,370,017 = 107,370,017/x
  3. Step 3: Cross multiply
    49,567,617x = 107,370,017 × 107,370,017
  4. Step 4: Simplify right side
    49,567,617x = 11,528,320,550,580,288
  5. Step 5: Solve for x
    x = 11,528,320,550,580,288/49,567,617
  6. Step 6: Final answer
    x = 232,577,663.57

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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.