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Finding the Third Proportional to 352,128,955,797 and 773,434,656,414

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Solution

The third proportional to 352,128,955,797 and 773,434,656,414 is: 1,698,812,772,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,128,955,797 : 773,434,656,414 = 773,434,656,414 : x
  2. Step 2: Convert to fraction form
    352,128,955,797/773,434,656,414 = 773,434,656,414/x
  3. Step 3: Cross multiply
    352,128,955,797x = 773,434,656,414 × 773,434,656,414
  4. Step 4: Simplify right side
    352,128,955,797x = 598,201,167,742,242,209,660,928
  5. Step 5: Solve for x
    x = 598,201,167,742,242,209,660,928/352,128,955,797
  6. Step 6: Final answer
    x = 1,698,812,772,690.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.