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Finding the Third Proportional to 693,892,965,618 and 1,521,829,833,210

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Solution

The third proportional to 693,892,965,618 and 1,521,829,833,210 is: 3,337,641,619,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,892,965,618 : 1,521,829,833,210 = 1,521,829,833,210 : x
  2. Step 2: Convert to fraction form
    693,892,965,618/1,521,829,833,210 = 1,521,829,833,210/x
  3. Step 3: Cross multiply
    693,892,965,618x = 1,521,829,833,210 × 1,521,829,833,210
  4. Step 4: Simplify right side
    693,892,965,618x = 2,315,966,041,247,976,513,339,392
  5. Step 5: Solve for x
    x = 2,315,966,041,247,976,513,339,392/693,892,965,618
  6. Step 6: Final answer
    x = 3,337,641,619,100.89

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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.