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Finding the Third Proportional to 6,201,840,114 and 9,532,673,649

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Solution

The third proportional to 6,201,840,114 and 9,532,673,649 is: 14,652,404,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201,840,114 : 9,532,673,649 = 9,532,673,649 : x
  2. Step 2: Convert to fraction form
    6,201,840,114/9,532,673,649 = 9,532,673,649/x
  3. Step 3: Cross multiply
    6,201,840,114x = 9,532,673,649 × 9,532,673,649
  4. Step 4: Simplify right side
    6,201,840,114x = 90,871,866,898,338,971,648
  5. Step 5: Solve for x
    x = 90,871,866,898,338,971,648/6,201,840,114
  6. Step 6: Final answer
    x = 14,652,404,000.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.