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Finding the Third Proportional to 659,184,971.25 and 1,409,026,252.50

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Solution

The third proportional to 659,184,971.25 and 1,409,026,252.50 is: 3,011,832,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,184,971.25 : 1,409,026,252.50 = 1,409,026,252.50 : x
  2. Step 2: Convert to fraction form
    659,184,971.25/1,409,026,252.50 = 1,409,026,252.50/x
  3. Step 3: Cross multiply
    659,184,971.25x = 1,409,026,252.50 × 1,409,026,252.50
  4. Step 4: Simplify right side
    659,184,971.25x = 1,985,354,980,234,193,664
  5. Step 5: Solve for x
    x = 1,985,354,980,234,193,664/659,184,971.25
  6. Step 6: Final answer
    x = 3,011,832,894.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.