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Finding the Third Proportional to 76,577,584 and 163,919,336

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Solution

The third proportional to 76,577,584 and 163,919,336 is: 350,880,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577,584 : 163,919,336 = 163,919,336 : x
  2. Step 2: Convert to fraction form
    76,577,584/163,919,336 = 163,919,336/x
  3. Step 3: Cross multiply
    76,577,584x = 163,919,336 × 163,919,336
  4. Step 4: Simplify right side
    76,577,584x = 26,869,548,714,680,896
  5. Step 5: Solve for x
    x = 26,869,548,714,680,896/76,577,584
  6. Step 6: Final answer
    x = 350,880,078.88

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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.