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Finding the Third Proportional to 700,662,357 and 985,568,355

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Solution

The third proportional to 700,662,357 and 985,568,355 is: 1,386,323,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,662,357 : 985,568,355 = 985,568,355 : x
  2. Step 2: Convert to fraction form
    700,662,357/985,568,355 = 985,568,355/x
  3. Step 3: Cross multiply
    700,662,357x = 985,568,355 × 985,568,355
  4. Step 4: Simplify right side
    700,662,357x = 971,344,982,377,406,080
  5. Step 5: Solve for x
    x = 971,344,982,377,406,080/700,662,357
  6. Step 6: Final answer
    x = 1,386,323,915.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.