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Finding the Third Proportional to 562,308,633,112 and 856,619,103,864

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Solution

The third proportional to 562,308,633,112 and 856,619,103,864 is: 1,304,970,697,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,308,633,112 : 856,619,103,864 = 856,619,103,864 : x
  2. Step 2: Convert to fraction form
    562,308,633,112/856,619,103,864 = 856,619,103,864/x
  3. Step 3: Cross multiply
    562,308,633,112x = 856,619,103,864 × 856,619,103,864
  4. Step 4: Simplify right side
    562,308,633,112x = 733,796,289,104,762,453,884,928
  5. Step 5: Solve for x
    x = 733,796,289,104,762,453,884,928/562,308,633,112
  6. Step 6: Final answer
    x = 1,304,970,697,397.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.