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Finding the Third Proportional to 305,852,951 and 453,046,084

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Solution

The third proportional to 305,852,951 and 453,046,084 is: 671,076,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,852,951 : 453,046,084 = 453,046,084 : x
  2. Step 2: Convert to fraction form
    305,852,951/453,046,084 = 453,046,084/x
  3. Step 3: Cross multiply
    305,852,951x = 453,046,084 × 453,046,084
  4. Step 4: Simplify right side
    305,852,951x = 205,250,754,227,735,040
  5. Step 5: Solve for x
    x = 205,250,754,227,735,040/305,852,951
  6. Step 6: Final answer
    x = 671,076,586.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.