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Finding the Third Proportional to 55,642,767 and 118,943,111

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Solution

The third proportional to 55,642,767 and 118,943,111 is: 254,255,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,642,767 : 118,943,111 = 118,943,111 : x
  2. Step 2: Convert to fraction form
    55,642,767/118,943,111 = 118,943,111/x
  3. Step 3: Cross multiply
    55,642,767x = 118,943,111 × 118,943,111
  4. Step 4: Simplify right side
    55,642,767x = 14,147,463,654,358,320
  5. Step 5: Solve for x
    x = 14,147,463,654,358,320/55,642,767
  6. Step 6: Final answer
    x = 254,255,214.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.