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Finding the Third Proportional to 315,791,296 and 473,686,944

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Solution

The third proportional to 315,791,296 and 473,686,944 is: 710,530,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,791,296 : 473,686,944 = 473,686,944 : x
  2. Step 2: Convert to fraction form
    315,791,296/473,686,944 = 473,686,944/x
  3. Step 3: Cross multiply
    315,791,296x = 473,686,944 × 473,686,944
  4. Step 4: Simplify right side
    315,791,296x = 224,379,320,916,059,136
  5. Step 5: Solve for x
    x = 224,379,320,916,059,136/315,791,296
  6. Step 6: Final answer
    x = 710,530,416

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.