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Finding the Third Proportional to 76,454,356 and 166,343,768

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Solution

The third proportional to 76,454,356 and 166,343,768 is: 361,918,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454,356 : 166,343,768 = 166,343,768 : x
  2. Step 2: Convert to fraction form
    76,454,356/166,343,768 = 166,343,768/x
  3. Step 3: Cross multiply
    76,454,356x = 166,343,768 × 166,343,768
  4. Step 4: Simplify right side
    76,454,356x = 27,670,249,152,437,824
  5. Step 5: Solve for x
    x = 27,670,249,152,437,824/76,454,356
  6. Step 6: Final answer
    x = 361,918,543.30

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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.