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Finding the Third Proportional to 275,506,332 and 599,438,670

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Solution

The third proportional to 275,506,332 and 599,438,670 is: 1,304,241,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,506,332 : 599,438,670 = 599,438,670 : x
  2. Step 2: Convert to fraction form
    275,506,332/599,438,670 = 599,438,670/x
  3. Step 3: Cross multiply
    275,506,332x = 599,438,670 × 599,438,670
  4. Step 4: Simplify right side
    275,506,332x = 359,326,719,091,368,896
  5. Step 5: Solve for x
    x = 359,326,719,091,368,896/275,506,332
  6. Step 6: Final answer
    x = 1,304,241,236.43

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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.