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Finding the Third Proportional to 319,915,565,802 and 687,977,324,244

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Solution

The third proportional to 319,915,565,802 and 687,977,324,244 is: 1,479,492,870,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,915,565,802 : 687,977,324,244 = 687,977,324,244 : x
  2. Step 2: Convert to fraction form
    319,915,565,802/687,977,324,244 = 687,977,324,244/x
  3. Step 3: Cross multiply
    319,915,565,802x = 687,977,324,244 × 687,977,324,244
  4. Step 4: Simplify right side
    319,915,565,802x = 473,312,798,673,933,883,670,528
  5. Step 5: Solve for x
    x = 473,312,798,673,933,883,670,528/319,915,565,802
  6. Step 6: Final answer
    x = 1,479,492,870,212.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.