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Finding the Third Proportional to 23,255,571,984 and 51,013,472,736

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Solution

The third proportional to 23,255,571,984 and 51,013,472,736 is: 111,903,263,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,255,571,984 : 51,013,472,736 = 51,013,472,736 : x
  2. Step 2: Convert to fraction form
    23,255,571,984/51,013,472,736 = 51,013,472,736/x
  3. Step 3: Cross multiply
    23,255,571,984x = 51,013,472,736 × 51,013,472,736
  4. Step 4: Simplify right side
    23,255,571,984x = 2,602,374,400,586,615,357,440
  5. Step 5: Solve for x
    x = 2,602,374,400,586,615,357,440/23,255,571,984
  6. Step 6: Final answer
    x = 111,903,263,543.77

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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.