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Finding the Third Proportional to 12,312,808,736 and 26,369,059,204

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Solution

The third proportional to 12,312,808,736 and 26,369,059,204 is: 56,471,865,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312,808,736 : 26,369,059,204 = 26,369,059,204 : x
  2. Step 2: Convert to fraction form
    12,312,808,736/26,369,059,204 = 26,369,059,204/x
  3. Step 3: Cross multiply
    12,312,808,736x = 26,369,059,204 × 26,369,059,204
  4. Step 4: Simplify right side
    12,312,808,736x = 695,327,283,304,057,143,296
  5. Step 5: Solve for x
    x = 695,327,283,304,057,143,296/12,312,808,736
  6. Step 6: Final answer
    x = 56,471,865,860.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.