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Finding the Third Proportional to 305,765,060 and 665,274,952

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Solution

The third proportional to 305,765,060 and 665,274,952 is: 1,447,486,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,765,060 : 665,274,952 = 665,274,952 : x
  2. Step 2: Convert to fraction form
    305,765,060/665,274,952 = 665,274,952/x
  3. Step 3: Cross multiply
    305,765,060x = 665,274,952 × 665,274,952
  4. Step 4: Simplify right side
    305,765,060x = 442,590,761,758,602,304
  5. Step 5: Solve for x
    x = 442,590,761,758,602,304/305,765,060
  6. Step 6: Final answer
    x = 1,447,486,386.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.