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Finding the Third Proportional to 525,977,026,208 and 813,119,582,964

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Solution

The third proportional to 525,977,026,208 and 813,119,582,964 is: 1,257,019,647,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,977,026,208 : 813,119,582,964 = 813,119,582,964 : x
  2. Step 2: Convert to fraction form
    525,977,026,208/813,119,582,964 = 813,119,582,964/x
  3. Step 3: Cross multiply
    525,977,026,208x = 813,119,582,964 × 813,119,582,964
  4. Step 4: Simplify right side
    525,977,026,208x = 661,163,456,199,549,257,777,152
  5. Step 5: Solve for x
    x = 661,163,456,199,549,257,777,152/525,977,026,208
  6. Step 6: Final answer
    x = 1,257,019,647,732.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.