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Finding the Third Proportional to 525,977,026,210 and 813,119,582,967

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Solution

The third proportional to 525,977,026,210 and 813,119,582,967 is: 1,257,019,647,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,977,026,210 : 813,119,582,967 = 813,119,582,967 : x
  2. Step 2: Convert to fraction form
    525,977,026,210/813,119,582,967 = 813,119,582,967/x
  3. Step 3: Cross multiply
    525,977,026,210x = 813,119,582,967 × 813,119,582,967
  4. Step 4: Simplify right side
    525,977,026,210x = 661,163,456,204,427,937,972,224
  5. Step 5: Solve for x
    x = 661,163,456,204,427,937,972,224/525,977,026,210
  6. Step 6: Final answer
    x = 1,257,019,647,737.34

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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.