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Finding the Third Proportional to 78,090,428,824 and 109,968,531,586

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Solution

The third proportional to 78,090,428,824 and 109,968,531,586 is: 154,859,924,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,090,428,824 : 109,968,531,586 = 109,968,531,586 : x
  2. Step 2: Convert to fraction form
    78,090,428,824/109,968,531,586 = 109,968,531,586/x
  3. Step 3: Cross multiply
    78,090,428,824x = 109,968,531,586 × 109,968,531,586
  4. Step 4: Simplify right side
    78,090,428,824x = 12,093,077,939,181,078,970,368
  5. Step 5: Solve for x
    x = 12,093,077,939,181,078,970,368/78,090,428,824
  6. Step 6: Final answer
    x = 154,859,924,849.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.