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Finding the Third Proportional to 591,388,513.50 and 919,340,170.50

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Solution

The third proportional to 591,388,513.50 and 919,340,170.50 is: 1,429,155,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,388,513.50 : 919,340,170.50 = 919,340,170.50 : x
  2. Step 2: Convert to fraction form
    591,388,513.50/919,340,170.50 = 919,340,170.50/x
  3. Step 3: Cross multiply
    591,388,513.50x = 919,340,170.50 × 919,340,170.50
  4. Step 4: Simplify right side
    591,388,513.50x = 845,186,349,094,969,088
  5. Step 5: Solve for x
    x = 845,186,349,094,969,088/591,388,513.50
  6. Step 6: Final answer
    x = 1,429,155,842.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.