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Finding the Third Proportional to 41,456,510,936 and 89,518,842,160

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Solution

The third proportional to 41,456,510,936 and 89,518,842,160 is: 193,301,918,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,456,510,936 : 89,518,842,160 = 89,518,842,160 : x
  2. Step 2: Convert to fraction form
    41,456,510,936/89,518,842,160 = 89,518,842,160/x
  3. Step 3: Cross multiply
    41,456,510,936x = 89,518,842,160 × 89,518,842,160
  4. Step 4: Simplify right side
    41,456,510,936x = 8,013,623,101,666,993,635,328
  5. Step 5: Solve for x
    x = 8,013,623,101,666,993,635,328/41,456,510,936
  6. Step 6: Final answer
    x = 193,301,918,582.54

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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.