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Finding the Third Proportional to 344,391,174 and 734,759,910

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Solution

The third proportional to 344,391,174 and 734,759,910 is: 1,567,613,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,391,174 : 734,759,910 = 734,759,910 : x
  2. Step 2: Convert to fraction form
    344,391,174/734,759,910 = 734,759,910/x
  3. Step 3: Cross multiply
    344,391,174x = 734,759,910 × 734,759,910
  4. Step 4: Simplify right side
    344,391,174x = 539,872,125,343,208,128
  5. Step 5: Solve for x
    x = 539,872,125,343,208,128/344,391,174
  6. Step 6: Final answer
    x = 1,567,613,127.46

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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.