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Finding the Third Proportional to 18,191,673,473,306 and 40,450,745,519,764

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Solution

The third proportional to 18,191,673,473,306 and 40,450,745,519,764 is: 89,945,700,460,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,191,673,473,306 : 40,450,745,519,764 = 40,450,745,519,764 : x
  2. Step 2: Convert to fraction form
    18,191,673,473,306/40,450,745,519,764 = 40,450,745,519,764/x
  3. Step 3: Cross multiply
    18,191,673,473,306x = 40,450,745,519,764 × 40,450,745,519,764
  4. Step 4: Simplify right side
    18,191,673,473,306x = 1,636,262,813,104,707,431,496,155,136
  5. Step 5: Solve for x
    x = 1,636,262,813,104,707,431,496,155,136/18,191,673,473,306
  6. Step 6: Final answer
    x = 89,945,700,460,472.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.