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Finding the Third Proportional to 693,892,965,606 and 1,521,829,833,180

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Solution

The third proportional to 693,892,965,606 and 1,521,829,833,180 is: 3,337,641,619,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,892,965,606 : 1,521,829,833,180 = 1,521,829,833,180 : x
  2. Step 2: Convert to fraction form
    693,892,965,606/1,521,829,833,180 = 1,521,829,833,180/x
  3. Step 3: Cross multiply
    693,892,965,606x = 1,521,829,833,180 × 1,521,829,833,180
  4. Step 4: Simplify right side
    693,892,965,606x = 2,315,966,041,156,666,582,368,256
  5. Step 5: Solve for x
    x = 2,315,966,041,156,666,582,368,256/693,892,965,606
  6. Step 6: Final answer
    x = 3,337,641,619,027.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.