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Finding the Third Proportional to 729,630,582,543 and 1,569,068,058,786

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Solution

The third proportional to 729,630,582,543 and 1,569,068,058,786 is: 3,374,275,464,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,630,582,543 : 1,569,068,058,786 = 1,569,068,058,786 : x
  2. Step 2: Convert to fraction form
    729,630,582,543/1,569,068,058,786 = 1,569,068,058,786/x
  3. Step 3: Cross multiply
    729,630,582,543x = 1,569,068,058,786 × 1,569,068,058,786
  4. Step 4: Simplify right side
    729,630,582,543x = 2,461,974,573,102,466,261,319,680
  5. Step 5: Solve for x
    x = 2,461,974,573,102,466,261,319,680/729,630,582,543
  6. Step 6: Final answer
    x = 3,374,275,464,882.08

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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.