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Finding the Third Proportional to 154,623,416 and 333,457,384

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Solution

The third proportional to 154,623,416 and 333,457,384 is: 719,126,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,623,416 : 333,457,384 = 333,457,384 : x
  2. Step 2: Convert to fraction form
    154,623,416/333,457,384 = 333,457,384/x
  3. Step 3: Cross multiply
    154,623,416x = 333,457,384 × 333,457,384
  4. Step 4: Simplify right side
    154,623,416x = 111,193,826,944,123,456
  5. Step 5: Solve for x
    x = 111,193,826,944,123,456/154,623,416
  6. Step 6: Final answer
    x = 719,126,700.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.