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Finding the Third Proportional to 52,424,886,896 and 115,535,635,180

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Solution

The third proportional to 52,424,886,896 and 115,535,635,180 is: 254,621,111,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,424,886,896 : 115,535,635,180 = 115,535,635,180 : x
  2. Step 2: Convert to fraction form
    52,424,886,896/115,535,635,180 = 115,535,635,180/x
  3. Step 3: Cross multiply
    52,424,886,896x = 115,535,635,180 × 115,535,635,180
  4. Step 4: Simplify right side
    52,424,886,896x = 13,348,482,996,446,053,793,792
  5. Step 5: Solve for x
    x = 13,348,482,996,446,053,793,792/52,424,886,896
  6. Step 6: Final answer
    x = 254,621,111,971.62

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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.