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Finding the Third Proportional to 76,577,577 and 163,919,322

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Solution

The third proportional to 76,577,577 and 163,919,322 is: 350,880,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577,577 : 163,919,322 = 163,919,322 : x
  2. Step 2: Convert to fraction form
    76,577,577/163,919,322 = 163,919,322/x
  3. Step 3: Cross multiply
    76,577,577x = 163,919,322 × 163,919,322
  4. Step 4: Simplify right side
    76,577,577x = 26,869,544,124,939,684
  5. Step 5: Solve for x
    x = 26,869,544,124,939,684/76,577,577
  6. Step 6: Final answer
    x = 350,880,051.02

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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.