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Finding the Third Proportional to 3,443,638,805,421 and 7,398,324,694,902

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Solution

The third proportional to 3,443,638,805,421 and 7,398,324,694,902 is: 15,894,584,590,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443,638,805,421 : 7,398,324,694,902 = 7,398,324,694,902 : x
  2. Step 2: Convert to fraction form
    3,443,638,805,421/7,398,324,694,902 = 7,398,324,694,902/x
  3. Step 3: Cross multiply
    3,443,638,805,421x = 7,398,324,694,902 × 7,398,324,694,902
  4. Step 4: Simplify right side
    3,443,638,805,421x = 54,735,208,291,196,772,009,639,936
  5. Step 5: Solve for x
    x = 54,735,208,291,196,772,009,639,936/3,443,638,805,421
  6. Step 6: Final answer
    x = 15,894,584,590,297.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.