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Finding the Third Proportional to 700,686,468.38 and 985,468,636.13

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Solution

The third proportional to 700,686,468.38 and 985,468,636.13 is: 1,385,995,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,686,468.38 : 985,468,636.13 = 985,468,636.13 : x
  2. Step 2: Convert to fraction form
    700,686,468.38/985,468,636.13 = 985,468,636.13/x
  3. Step 3: Cross multiply
    700,686,468.38x = 985,468,636.13 × 985,468,636.13
  4. Step 4: Simplify right side
    700,686,468.38x = 971,148,432,786,067,712
  5. Step 5: Solve for x
    x = 971,148,432,786,067,712/700,686,468.38
  6. Step 6: Final answer
    x = 1,385,995,700.81

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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.