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Finding the Third Proportional to 35,342,228 and 77,301,544

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Solution

The third proportional to 35,342,228 and 77,301,544 is: 169,076,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,342,228 : 77,301,544 = 77,301,544 : x
  2. Step 2: Convert to fraction form
    35,342,228/77,301,544 = 77,301,544/x
  3. Step 3: Cross multiply
    35,342,228x = 77,301,544 × 77,301,544
  4. Step 4: Simplify right side
    35,342,228x = 5,975,528,704,783,936
  5. Step 5: Solve for x
    x = 5,975,528,704,783,936/35,342,228
  6. Step 6: Final answer
    x = 169,076,174.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.