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Finding the Third Proportional to 5,236,835,127 and 7,847,592,260.25

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Solution

The third proportional to 5,236,835,127 and 7,847,592,260.25 is: 11,759,908,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236,835,127 : 7,847,592,260.25 = 7,847,592,260.25 : x
  2. Step 2: Convert to fraction form
    5,236,835,127/7,847,592,260.25 = 7,847,592,260.25/x
  3. Step 3: Cross multiply
    5,236,835,127x = 7,847,592,260.25 × 7,847,592,260.25
  4. Step 4: Simplify right side
    5,236,835,127x = 61,584,704,283,135,705,088
  5. Step 5: Solve for x
    x = 61,584,704,283,135,705,088/5,236,835,127
  6. Step 6: Final answer
    x = 11,759,908,950.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.