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Finding the Third Proportional to 351,604,746 and 517,244,130

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Solution

The third proportional to 351,604,746 and 517,244,130 is: 760,915,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,604,746 : 517,244,130 = 517,244,130 : x
  2. Step 2: Convert to fraction form
    351,604,746/517,244,130 = 517,244,130/x
  3. Step 3: Cross multiply
    351,604,746x = 517,244,130 × 517,244,130
  4. Step 4: Simplify right side
    351,604,746x = 267,541,490,019,456,896
  5. Step 5: Solve for x
    x = 267,541,490,019,456,896/351,604,746
  6. Step 6: Final answer
    x = 760,915,468.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.