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Finding the Third Proportional to 225,972,706,920.75 and 487,892,760,880.50

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Solution

The third proportional to 225,972,706,920.75 and 487,892,760,880.50 is: 1,053,398,657,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,972,706,920.75 : 487,892,760,880.50 = 487,892,760,880.50 : x
  2. Step 2: Convert to fraction form
    225,972,706,920.75/487,892,760,880.50 = 487,892,760,880.50/x
  3. Step 3: Cross multiply
    225,972,706,920.75x = 487,892,760,880.50 × 487,892,760,880.50
  4. Step 4: Simplify right side
    225,972,706,920.75x = 238,039,346,119,596,765,609,984
  5. Step 5: Solve for x
    x = 238,039,346,119,596,765,609,984/225,972,706,920.75
  6. Step 6: Final answer
    x = 1,053,398,657,578.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.