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Finding the Third Proportional to 33,301,853,816 and 71,911,445,572

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Solution

The third proportional to 33,301,853,816 and 71,911,445,572 is: 155,284,328,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,301,853,816 : 71,911,445,572 = 71,911,445,572 : x
  2. Step 2: Convert to fraction form
    33,301,853,816/71,911,445,572 = 71,911,445,572/x
  3. Step 3: Cross multiply
    33,301,853,816x = 71,911,445,572 × 71,911,445,572
  4. Step 4: Simplify right side
    33,301,853,816x = 5,171,256,004,254,717,968,384
  5. Step 5: Solve for x
    x = 5,171,256,004,254,717,968,384/33,301,853,816
  6. Step 6: Final answer
    x = 155,284,328,398.86

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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.