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Finding the Third Proportional to 272,738,358 and 596,494,080

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Solution

The third proportional to 272,738,358 and 596,494,080 is: 1,304,565,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,738,358 : 596,494,080 = 596,494,080 : x
  2. Step 2: Convert to fraction form
    272,738,358/596,494,080 = 596,494,080/x
  3. Step 3: Cross multiply
    272,738,358x = 596,494,080 × 596,494,080
  4. Step 4: Simplify right side
    272,738,358x = 355,805,187,475,046,400
  5. Step 5: Solve for x
    x = 355,805,187,475,046,400/272,738,358
  6. Step 6: Final answer
    x = 1,304,565,995.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.