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Finding the Third Proportional to 305,668,752 and 671,386,944

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Solution

The third proportional to 305,668,752 and 671,386,944 is: 1,474,669,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,668,752 : 671,386,944 = 671,386,944 : x
  2. Step 2: Convert to fraction form
    305,668,752/671,386,944 = 671,386,944/x
  3. Step 3: Cross multiply
    305,668,752x = 671,386,944 × 671,386,944
  4. Step 4: Simplify right side
    305,668,752x = 450,760,428,573,659,136
  5. Step 5: Solve for x
    x = 450,760,428,573,659,136/305,668,752
  6. Step 6: Final answer
    x = 1,474,669,640.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.