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Finding the Third Proportional to 1,588,534,567.50 and 3,463,094,733

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Solution

The third proportional to 1,588,534,567.50 and 3,463,094,733 is: 7,549,741,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,534,567.50 : 3,463,094,733 = 3,463,094,733 : x
  2. Step 2: Convert to fraction form
    1,588,534,567.50/3,463,094,733 = 3,463,094,733/x
  3. Step 3: Cross multiply
    1,588,534,567.50x = 3,463,094,733 × 3,463,094,733
  4. Step 4: Simplify right side
    1,588,534,567.50x = 11,993,025,129,732,341,760
  5. Step 5: Solve for x
    x = 11,993,025,129,732,341,760/1,588,534,567.50
  6. Step 6: Final answer
    x = 7,549,741,362.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.