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Finding the Third Proportional to 45,674,993 and 100,434,730

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Solution

The third proportional to 45,674,993 and 100,434,730 is: 220,845,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,674,993 : 100,434,730 = 100,434,730 : x
  2. Step 2: Convert to fraction form
    45,674,993/100,434,730 = 100,434,730/x
  3. Step 3: Cross multiply
    45,674,993x = 100,434,730 × 100,434,730
  4. Step 4: Simplify right side
    45,674,993x = 10,087,134,990,172,900
  5. Step 5: Solve for x
    x = 10,087,134,990,172,900/45,674,993
  6. Step 6: Final answer
    x = 220,845,901.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.