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Finding the Third Proportional to 23,255,573,122 and 51,013,475,460

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Solution

The third proportional to 23,255,573,122 and 51,013,475,460 is: 111,903,270,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,255,573,122 : 51,013,475,460 = 51,013,475,460 : x
  2. Step 2: Convert to fraction form
    23,255,573,122/51,013,475,460 = 51,013,475,460/x
  3. Step 3: Cross multiply
    23,255,573,122x = 51,013,475,460 × 51,013,475,460
  4. Step 4: Simplify right side
    23,255,573,122x = 2,602,374,678,508,022,005,760
  5. Step 5: Solve for x
    x = 2,602,374,678,508,022,005,760/23,255,573,122
  6. Step 6: Final answer
    x = 111,903,270,018.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.