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Finding the Third Proportional to 2,236,662,234 and 3,335,597,280

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Solution

The third proportional to 2,236,662,234 and 3,335,597,280 is: 4,974,470,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236,662,234 : 3,335,597,280 = 3,335,597,280 : x
  2. Step 2: Convert to fraction form
    2,236,662,234/3,335,597,280 = 3,335,597,280/x
  3. Step 3: Cross multiply
    2,236,662,234x = 3,335,597,280 × 3,335,597,280
  4. Step 4: Simplify right side
    2,236,662,234x = 11,126,209,214,343,397,376
  5. Step 5: Solve for x
    x = 11,126,209,214,343,397,376/2,236,662,234
  6. Step 6: Final answer
    x = 4,974,470,013.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.