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Finding the Third Proportional to 49,567,471 and 107,953,646

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Solution

The third proportional to 49,567,471 and 107,953,646 is: 235,113,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567,471 : 107,953,646 = 107,953,646 : x
  2. Step 2: Convert to fraction form
    49,567,471/107,953,646 = 107,953,646/x
  3. Step 3: Cross multiply
    49,567,471x = 107,953,646 × 107,953,646
  4. Step 4: Simplify right side
    49,567,471x = 11,653,989,684,693,316
  5. Step 5: Solve for x
    x = 11,653,989,684,693,316/49,567,471
  6. Step 6: Final answer
    x = 235,113,663.25

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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.