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Finding the Third Proportional to 3,582,913,368,063 and 7,896,138,575,190

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Solution

The third proportional to 3,582,913,368,063 and 7,896,138,575,190 is: 17,401,761,637,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582,913,368,063 : 7,896,138,575,190 = 7,896,138,575,190 : x
  2. Step 2: Convert to fraction form
    3,582,913,368,063/7,896,138,575,190 = 7,896,138,575,190/x
  3. Step 3: Cross multiply
    3,582,913,368,063x = 7,896,138,575,190 × 7,896,138,575,190
  4. Step 4: Simplify right side
    3,582,913,368,063x = 62,349,004,398,603,561,951,297,536
  5. Step 5: Solve for x
    x = 62,349,004,398,603,561,951,297,536/3,582,913,368,063
  6. Step 6: Final answer
    x = 17,401,761,637,432.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.