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Finding the Third Proportional to 45,674,994 and 100,434,732

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Solution

The third proportional to 45,674,994 and 100,434,732 is: 220,845,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,674,994 : 100,434,732 = 100,434,732 : x
  2. Step 2: Convert to fraction form
    45,674,994/100,434,732 = 100,434,732/x
  3. Step 3: Cross multiply
    45,674,994x = 100,434,732 × 100,434,732
  4. Step 4: Simplify right side
    45,674,994x = 10,087,135,391,911,824
  5. Step 5: Solve for x
    x = 10,087,135,391,911,824/45,674,994
  6. Step 6: Final answer
    x = 220,845,905.13

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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.