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Finding the Third Proportional to 332,794,854 and 710,108,955

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Solution

The third proportional to 332,794,854 and 710,108,955 is: 1,515,211,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,794,854 : 710,108,955 = 710,108,955 : x
  2. Step 2: Convert to fraction form
    332,794,854/710,108,955 = 710,108,955/x
  3. Step 3: Cross multiply
    332,794,854x = 710,108,955 × 710,108,955
  4. Step 4: Simplify right side
    332,794,854x = 504,254,727,971,192,000
  5. Step 5: Solve for x
    x = 504,254,727,971,192,000/332,794,854
  6. Step 6: Final answer
    x = 1,515,211,914.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.