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Finding the Third Proportional to 729,630,582,612 and 1,569,068,058,936

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Solution

The third proportional to 729,630,582,612 and 1,569,068,058,936 is: 3,374,275,465,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,630,582,612 : 1,569,068,058,936 = 1,569,068,058,936 : x
  2. Step 2: Convert to fraction form
    729,630,582,612/1,569,068,058,936 = 1,569,068,058,936/x
  3. Step 3: Cross multiply
    729,630,582,612x = 1,569,068,058,936 × 1,569,068,058,936
  4. Step 4: Simplify right side
    729,630,582,612x = 2,461,974,573,573,186,623,897,600
  5. Step 5: Solve for x
    x = 2,461,974,573,573,186,623,897,600/729,630,582,612
  6. Step 6: Final answer
    x = 3,374,275,465,208.13

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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.