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Finding the Third Proportional to 49,758,888 and 77,886,918

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Solution

The third proportional to 49,758,888 and 77,886,918 is: 121,915,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,758,888 : 77,886,918 = 77,886,918 : x
  2. Step 2: Convert to fraction form
    49,758,888/77,886,918 = 77,886,918/x
  3. Step 3: Cross multiply
    49,758,888x = 77,886,918 × 77,886,918
  4. Step 4: Simplify right side
    49,758,888x = 6,066,371,995,538,724
  5. Step 5: Solve for x
    x = 6,066,371,995,538,724/49,758,888
  6. Step 6: Final answer
    x = 121,915,344.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.