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Finding the Third Proportional to 288,703,064 and 673,663,820

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Solution

The third proportional to 288,703,064 and 673,663,820 is: 1,571,936,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,703,064 : 673,663,820 = 673,663,820 : x
  2. Step 2: Convert to fraction form
    288,703,064/673,663,820 = 673,663,820/x
  3. Step 3: Cross multiply
    288,703,064x = 673,663,820 × 673,663,820
  4. Step 4: Simplify right side
    288,703,064x = 453,822,942,376,992,384
  5. Step 5: Solve for x
    x = 453,822,942,376,992,384/288,703,064
  6. Step 6: Final answer
    x = 1,571,936,702.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.