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Finding the Third Proportional to 530,760,151 and 830,791,848

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Solution

The third proportional to 530,760,151 and 830,791,848 is: 1,300,427,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,760,151 : 830,791,848 = 830,791,848 : x
  2. Step 2: Convert to fraction form
    530,760,151/830,791,848 = 830,791,848/x
  3. Step 3: Cross multiply
    530,760,151x = 830,791,848 × 830,791,848
  4. Step 4: Simplify right side
    530,760,151x = 690,215,094,703,255,040
  5. Step 5: Solve for x
    x = 690,215,094,703,255,040/530,760,151
  6. Step 6: Final answer
    x = 1,300,427,497.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.