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Finding the Third Proportional to 6,999,655,200 and 10,233,740,562

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Solution

The third proportional to 6,999,655,200 and 10,233,740,562 is: 14,962,086,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999,655,200 : 10,233,740,562 = 10,233,740,562 : x
  2. Step 2: Convert to fraction form
    6,999,655,200/10,233,740,562 = 10,233,740,562/x
  3. Step 3: Cross multiply
    6,999,655,200x = 10,233,740,562 × 10,233,740,562
  4. Step 4: Simplify right side
    6,999,655,200x = 104,729,445,890,324,070,400
  5. Step 5: Solve for x
    x = 104,729,445,890,324,070,400/6,999,655,200
  6. Step 6: Final answer
    x = 14,962,086,402.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.