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Finding the Third Proportional to 3,560,671,107 and 5,234,344,483

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Solution

The third proportional to 3,560,671,107 and 5,234,344,483 is: 7,694,718,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560,671,107 : 5,234,344,483 = 5,234,344,483 : x
  2. Step 2: Convert to fraction form
    3,560,671,107/5,234,344,483 = 5,234,344,483/x
  3. Step 3: Cross multiply
    3,560,671,107x = 5,234,344,483 × 5,234,344,483
  4. Step 4: Simplify right side
    3,560,671,107x = 27,398,362,166,712,537,088
  5. Step 5: Solve for x
    x = 27,398,362,166,712,537,088/3,560,671,107
  6. Step 6: Final answer
    x = 7,694,718,591.91

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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.