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Finding the Third Proportional to 24,253,533,411 and 52,777,813,419

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Solution

The third proportional to 24,253,533,411 and 52,777,813,419 is: 114,849,145,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,253,533,411 : 52,777,813,419 = 52,777,813,419 : x
  2. Step 2: Convert to fraction form
    24,253,533,411/52,777,813,419 = 52,777,813,419/x
  3. Step 3: Cross multiply
    24,253,533,411x = 52,777,813,419 × 52,777,813,419
  4. Step 4: Simplify right side
    24,253,533,411x = 2,785,497,589,290,776,395,776
  5. Step 5: Solve for x
    x = 2,785,497,589,290,776,395,776/24,253,533,411
  6. Step 6: Final answer
    x = 114,849,145,569.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.