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Finding the Third Proportional to 336,543,507 and 516,972,015

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Solution

The third proportional to 336,543,507 and 516,972,015 is: 794,132,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,507 : 516,972,015 = 516,972,015 : x
  2. Step 2: Convert to fraction form
    336,543,507/516,972,015 = 516,972,015/x
  3. Step 3: Cross multiply
    336,543,507x = 516,972,015 × 516,972,015
  4. Step 4: Simplify right side
    336,543,507x = 267,260,064,293,160,224
  5. Step 5: Solve for x
    x = 267,260,064,293,160,224/336,543,507
  6. Step 6: Final answer
    x = 794,132,285.23

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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.