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Finding the Third Proportional to 25,238,251,510 and 54,506,190,924

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Solution

The third proportional to 25,238,251,510 and 54,506,190,924 is: 117,715,161,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238,251,510 : 54,506,190,924 = 54,506,190,924 : x
  2. Step 2: Convert to fraction form
    25,238,251,510/54,506,190,924 = 54,506,190,924/x
  3. Step 3: Cross multiply
    25,238,251,510x = 54,506,190,924 × 54,506,190,924
  4. Step 4: Simplify right side
    25,238,251,510x = 2,970,924,849,043,540,017,152
  5. Step 5: Solve for x
    x = 2,970,924,849,043,540,017,152/25,238,251,510
  6. Step 6: Final answer
    x = 117,715,161,363.95

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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.