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Finding the Third Proportional to 220,911,712 and 480,608,900

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Solution

The third proportional to 220,911,712 and 480,608,900 is: 1,045,598,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,911,712 : 480,608,900 = 480,608,900 : x
  2. Step 2: Convert to fraction form
    220,911,712/480,608,900 = 480,608,900/x
  3. Step 3: Cross multiply
    220,911,712x = 480,608,900 × 480,608,900
  4. Step 4: Simplify right side
    220,911,712x = 230,984,914,759,209,984
  5. Step 5: Solve for x
    x = 230,984,914,759,209,984/220,911,712
  6. Step 6: Final answer
    x = 1,045,598,319.20

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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.