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Finding the Third Proportional to 76,746,546 and 118,084,029

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Solution

The third proportional to 76,746,546 and 118,084,029 is: 181,686,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,746,546 : 118,084,029 = 118,084,029 : x
  2. Step 2: Convert to fraction form
    76,746,546/118,084,029 = 118,084,029/x
  3. Step 3: Cross multiply
    76,746,546x = 118,084,029 × 118,084,029
  4. Step 4: Simplify right side
    76,746,546x = 13,943,837,904,872,840
  5. Step 5: Solve for x
    x = 13,943,837,904,872,840/76,746,546
  6. Step 6: Final answer
    x = 181,686,846.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.