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Finding the Third Proportional to 659,758,080 and 968,068,836

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Solution

The third proportional to 659,758,080 and 968,068,836 is: 1,420,455,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,758,080 : 968,068,836 = 968,068,836 : x
  2. Step 2: Convert to fraction form
    659,758,080/968,068,836 = 968,068,836/x
  3. Step 3: Cross multiply
    659,758,080x = 968,068,836 × 968,068,836
  4. Step 4: Simplify right side
    659,758,080x = 937,157,271,234,394,880
  5. Step 5: Solve for x
    x = 937,157,271,234,394,880/659,758,080
  6. Step 6: Final answer
    x = 1,420,455,921.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.