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Finding the Third Proportional to 8,673,112,612 and 11,702,065,158

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Solution

The third proportional to 8,673,112,612 and 11,702,065,158 is: 15,788,833,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673,112,612 : 11,702,065,158 = 11,702,065,158 : x
  2. Step 2: Convert to fraction form
    8,673,112,612/11,702,065,158 = 11,702,065,158/x
  3. Step 3: Cross multiply
    8,673,112,612x = 11,702,065,158 × 11,702,065,158
  4. Step 4: Simplify right side
    8,673,112,612x = 136,938,328,962,077,573,120
  5. Step 5: Solve for x
    x = 136,938,328,962,077,573,120/8,673,112,612
  6. Step 6: Final answer
    x = 15,788,833,269.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.