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Finding the Third Proportional to 1,678,900,584 and 3,593,646,796

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Solution

The third proportional to 1,678,900,584 and 3,593,646,796 is: 7,692,115,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,900,584 : 3,593,646,796 = 3,593,646,796 : x
  2. Step 2: Convert to fraction form
    1,678,900,584/3,593,646,796 = 3,593,646,796/x
  3. Step 3: Cross multiply
    1,678,900,584x = 3,593,646,796 × 3,593,646,796
  4. Step 4: Simplify right side
    1,678,900,584x = 12,914,297,294,401,064,960
  5. Step 5: Solve for x
    x = 12,914,297,294,401,064,960/1,678,900,584
  6. Step 6: Final answer
    x = 7,692,115,553.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.