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Finding the Third Proportional to 23,255,573,128 and 51,013,475,472

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Solution

The third proportional to 23,255,573,128 and 51,013,475,472 is: 111,903,270,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,255,573,128 : 51,013,475,472 = 51,013,475,472 : x
  2. Step 2: Convert to fraction form
    23,255,573,128/51,013,475,472 = 51,013,475,472/x
  3. Step 3: Cross multiply
    23,255,573,128x = 51,013,475,472 × 51,013,475,472
  4. Step 4: Simplify right side
    23,255,573,128x = 2,602,374,679,732,345,634,816
  5. Step 5: Solve for x
    x = 2,602,374,679,732,345,634,816/23,255,573,128
  6. Step 6: Final answer
    x = 111,903,270,042.36

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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.