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Finding the Third Proportional to 6,201,848,052 and 9,532,687,014

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Solution

The third proportional to 6,201,848,052 and 9,532,687,014 is: 14,652,426,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201,848,052 : 9,532,687,014 = 9,532,687,014 : x
  2. Step 2: Convert to fraction form
    6,201,848,052/9,532,687,014 = 9,532,687,014/x
  3. Step 3: Cross multiply
    6,201,848,052x = 9,532,687,014 × 9,532,687,014
  4. Step 4: Simplify right side
    6,201,848,052x = 90,872,121,706,884,235,264
  5. Step 5: Solve for x
    x = 90,872,121,706,884,235,264/6,201,848,052
  6. Step 6: Final answer
    x = 14,652,426,332.43

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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.