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Finding the Third Proportional to 700,686,460.13 and 985,468,624.31

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Solution

The third proportional to 700,686,460.13 and 985,468,624.31 is: 1,385,995,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,686,460.13 : 985,468,624.31 = 985,468,624.31 : x
  2. Step 2: Convert to fraction form
    700,686,460.13/985,468,624.31 = 985,468,624.31/x
  3. Step 3: Cross multiply
    700,686,460.13x = 985,468,624.31 × 985,468,624.31
  4. Step 4: Simplify right side
    700,686,460.13x = 971,148,409,504,371,328
  5. Step 5: Solve for x
    x = 971,148,409,504,371,328/700,686,460.13
  6. Step 6: Final answer
    x = 1,385,995,683.91

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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.