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Finding the Third Proportional to 817,693,220 and 1,783,380,304

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Solution

The third proportional to 817,693,220 and 1,783,380,304 is: 3,889,533,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,693,220 : 1,783,380,304 = 1,783,380,304 : x
  2. Step 2: Convert to fraction form
    817,693,220/1,783,380,304 = 1,783,380,304/x
  3. Step 3: Cross multiply
    817,693,220x = 1,783,380,304 × 1,783,380,304
  4. Step 4: Simplify right side
    817,693,220x = 3,180,445,308,695,132,160
  5. Step 5: Solve for x
    x = 3,180,445,308,695,132,160/817,693,220
  6. Step 6: Final answer
    x = 3,889,533,667.28

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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.