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Finding the Third Proportional to 7,910,219,754 and 16,908,315,212.25

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Solution

The third proportional to 7,910,219,754 and 16,908,315,212.25 is: 36,141,995,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910,219,754 : 16,908,315,212.25 = 16,908,315,212.25 : x
  2. Step 2: Convert to fraction form
    7,910,219,754/16,908,315,212.25 = 16,908,315,212.25/x
  3. Step 3: Cross multiply
    7,910,219,754x = 16,908,315,212.25 × 16,908,315,212.25
  4. Step 4: Simplify right side
    7,910,219,754x = 285,891,123,316,804,747,264
  5. Step 5: Solve for x
    x = 285,891,123,316,804,747,264/7,910,219,754
  6. Step 6: Final answer
    x = 36,141,995,065.59

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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.