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Finding the Third Proportional to 458,585,650,098 and 683,901,672,970.50

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Solution

The third proportional to 458,585,650,098 and 683,901,672,970.50 is: 1,019,921,792,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,585,650,098 : 683,901,672,970.50 = 683,901,672,970.50 : x
  2. Step 2: Convert to fraction form
    458,585,650,098/683,901,672,970.50 = 683,901,672,970.50/x
  3. Step 3: Cross multiply
    458,585,650,098x = 683,901,672,970.50 × 683,901,672,970.50
  4. Step 4: Simplify right side
    458,585,650,098x = 467,721,498,291,848,720,941,056
  5. Step 5: Solve for x
    x = 467,721,498,291,848,720,941,056/458,585,650,098
  6. Step 6: Final answer
    x = 1,019,921,792,563.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.