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Finding the Third Proportional to 5,224,282,098 and 11,366,845,038

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Solution

The third proportional to 5,224,282,098 and 11,366,845,038 is: 24,731,659,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,282,098 : 11,366,845,038 = 11,366,845,038 : x
  2. Step 2: Convert to fraction form
    5,224,282,098/11,366,845,038 = 11,366,845,038/x
  3. Step 3: Cross multiply
    5,224,282,098x = 11,366,845,038 × 11,366,845,038
  4. Step 4: Simplify right side
    5,224,282,098x = 129,205,166,117,905,219,584
  5. Step 5: Solve for x
    x = 129,205,166,117,905,219,584/5,224,282,098
  6. Step 6: Final answer
    x = 24,731,659,526.46

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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.