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Finding the Third Proportional to 367,676,928 and 559,154,880

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Solution

The third proportional to 367,676,928 and 559,154,880 is: 850,350,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,676,928 : 559,154,880 = 559,154,880 : x
  2. Step 2: Convert to fraction form
    367,676,928/559,154,880 = 559,154,880/x
  3. Step 3: Cross multiply
    367,676,928x = 559,154,880 × 559,154,880
  4. Step 4: Simplify right side
    367,676,928x = 312,654,179,827,814,400
  5. Step 5: Solve for x
    x = 312,654,179,827,814,400/367,676,928
  6. Step 6: Final answer
    x = 850,350,283.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.