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Finding the Third Proportional to 1,362,799,107 and 2,958,184,089

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Solution

The third proportional to 1,362,799,107 and 2,958,184,089 is: 6,421,234,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,799,107 : 2,958,184,089 = 2,958,184,089 : x
  2. Step 2: Convert to fraction form
    1,362,799,107/2,958,184,089 = 2,958,184,089/x
  3. Step 3: Cross multiply
    1,362,799,107x = 2,958,184,089 × 2,958,184,089
  4. Step 4: Simplify right side
    1,362,799,107x = 8,750,853,104,412,760,064
  5. Step 5: Solve for x
    x = 8,750,853,104,412,760,064/1,362,799,107
  6. Step 6: Final answer
    x = 6,421,234,838.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.