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Finding the Third Proportional to 6,712,022,155 and 9,332,530,303

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Solution

The third proportional to 6,712,022,155 and 9,332,530,303 is: 12,976,137,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712,022,155 : 9,332,530,303 = 9,332,530,303 : x
  2. Step 2: Convert to fraction form
    6,712,022,155/9,332,530,303 = 9,332,530,303/x
  3. Step 3: Cross multiply
    6,712,022,155x = 9,332,530,303 × 9,332,530,303
  4. Step 4: Simplify right side
    6,712,022,155x = 87,096,121,856,413,270,016
  5. Step 5: Solve for x
    x = 87,096,121,856,413,270,016/6,712,022,155
  6. Step 6: Final answer
    x = 12,976,137,421.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.