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Finding the Third Proportional to 318,552,116,202 and 682,541,341,866

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Solution

The third proportional to 318,552,116,202 and 682,541,341,866 is: 1,462,437,885,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,552,116,202 : 682,541,341,866 = 682,541,341,866 : x
  2. Step 2: Convert to fraction form
    318,552,116,202/682,541,341,866 = 682,541,341,866/x
  3. Step 3: Cross multiply
    318,552,116,202x = 682,541,341,866 × 682,541,341,866
  4. Step 4: Simplify right side
    318,552,116,202x = 465,862,683,356,239,872,655,360
  5. Step 5: Solve for x
    x = 465,862,683,356,239,872,655,360/318,552,116,202
  6. Step 6: Final answer
    x = 1,462,437,885,864.89

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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.