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Finding the Third Proportional to 18,877,287,636 and 40,896,590,427.75

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Solution

The third proportional to 18,877,287,636 and 40,896,590,427.75 is: 88,600,181,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,877,287,636 : 40,896,590,427.75 = 40,896,590,427.75 : x
  2. Step 2: Convert to fraction form
    18,877,287,636/40,896,590,427.75 = 40,896,590,427.75/x
  3. Step 3: Cross multiply
    18,877,287,636x = 40,896,590,427.75 × 40,896,590,427.75
  4. Step 4: Simplify right side
    18,877,287,636x = 1,672,531,108,615,132,807,168
  5. Step 5: Solve for x
    x = 1,672,531,108,615,132,807,168/18,877,287,636
  6. Step 6: Final answer
    x = 88,600,181,385.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.