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Finding the Third Proportional to 8,797,168,677,334 and 18,938,818,576,920

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Solution

The third proportional to 8,797,168,677,334 and 18,938,818,576,920 is: 40,772,078,181,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,797,168,677,334 : 18,938,818,576,920 = 18,938,818,576,920 : x
  2. Step 2: Convert to fraction form
    8,797,168,677,334/18,938,818,576,920 = 18,938,818,576,920/x
  3. Step 3: Cross multiply
    8,797,168,677,334x = 18,938,818,576,920 × 18,938,818,576,920
  4. Step 4: Simplify right side
    8,797,168,677,334x = 358,678,849,089,490,106,546,388,992
  5. Step 5: Solve for x
    x = 358,678,849,089,490,106,546,388,992/8,797,168,677,334
  6. Step 6: Final answer
    x = 40,772,078,181,657.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.