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Finding the Third Proportional to 3,197,654,620 and 7,130,553,658

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Solution

The third proportional to 3,197,654,620 and 7,130,553,658 is: 15,900,652,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,654,620 : 7,130,553,658 = 7,130,553,658 : x
  2. Step 2: Convert to fraction form
    3,197,654,620/7,130,553,658 = 7,130,553,658/x
  3. Step 3: Cross multiply
    3,197,654,620x = 7,130,553,658 × 7,130,553,658
  4. Step 4: Simplify right side
    3,197,654,620x = 50,844,795,469,617,184,768
  5. Step 5: Solve for x
    x = 50,844,795,469,617,184,768/3,197,654,620
  6. Step 6: Final answer
    x = 15,900,652,669.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.