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Finding the Third Proportional to 700,686,466.88 and 985,468,634.81

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Solution

The third proportional to 700,686,466.88 and 985,468,634.81 is: 1,385,995,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,686,466.88 : 985,468,634.81 = 985,468,634.81 : x
  2. Step 2: Convert to fraction form
    700,686,466.88/985,468,634.81 = 985,468,634.81/x
  3. Step 3: Cross multiply
    700,686,466.88x = 985,468,634.81 × 985,468,634.81
  4. Step 4: Simplify right side
    700,686,466.88x = 971,148,430,199,212,544
  5. Step 5: Solve for x
    x = 971,148,430,199,212,544/700,686,466.88
  6. Step 6: Final answer
    x = 1,385,995,700.09

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