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Finding the Third Proportional to 265,679,092 and 583,662,152

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Solution

The third proportional to 265,679,092 and 583,662,152 is: 1,282,229,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,679,092 : 583,662,152 = 583,662,152 : x
  2. Step 2: Convert to fraction form
    265,679,092/583,662,152 = 583,662,152/x
  3. Step 3: Cross multiply
    265,679,092x = 583,662,152 × 583,662,152
  4. Step 4: Simplify right side
    265,679,092x = 340,661,507,677,271,104
  5. Step 5: Solve for x
    x = 340,661,507,677,271,104/265,679,092
  6. Step 6: Final answer
    x = 1,282,229,268.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.